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Finding the Third Proportional to 130,559.75 and 176,155.88

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Solution

The third proportional to 130,559.75 and 176,155.88 is: 237,675.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,559.75 : 176,155.88 = 176,155.88 : x
  2. Step 2: Convert to fraction form
    130,559.75/176,155.88 = 176,155.88/x
  3. Step 3: Cross multiply
    130,559.75x = 176,155.88 × 176,155.88
  4. Step 4: Simplify right side
    130,559.75x = 31,030,892,297.02
  5. Step 5: Solve for x
    x = 31,030,892,297.02/130,559.75
  6. Step 6: Final answer
    x = 237,675.79

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.