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Finding the Third Proportional to 130,734 and 176,421.75

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Solution

The third proportional to 130,734 and 176,421.75 is: 238,076.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,734 : 176,421.75 = 176,421.75 : x
  2. Step 2: Convert to fraction form
    130,734/176,421.75 = 176,421.75/x
  3. Step 3: Cross multiply
    130,734x = 176,421.75 × 176,421.75
  4. Step 4: Simplify right side
    130,734x = 31,124,633,873.06
  5. Step 5: Solve for x
    x = 31,124,633,873.06/130,734
  6. Step 6: Final answer
    x = 238,076.05

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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.