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Finding the Third Proportional to 130,560 and 176,157.50

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Solution

The third proportional to 130,560 and 176,157.50 is: 237,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,560 : 176,157.50 = 176,157.50 : x
  2. Step 2: Convert to fraction form
    130,560/176,157.50 = 176,157.50/x
  3. Step 3: Cross multiply
    130,560x = 176,157.50 × 176,157.50
  4. Step 4: Simplify right side
    130,560x = 31,031,464,806.25
  5. Step 5: Solve for x
    x = 31,031,464,806.25/130,560
  6. Step 6: Final answer
    x = 237,679.72

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