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Finding the Third Proportional to 63,510.75 and 142,057.13

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Solution

The third proportional to 63,510.75 and 142,057.13 is: 317,745.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,510.75 : 142,057.13 = 142,057.13 : x
  2. Step 2: Convert to fraction form
    63,510.75/142,057.13 = 142,057.13/x
  3. Step 3: Cross multiply
    63,510.75x = 142,057.13 × 142,057.13
  4. Step 4: Simplify right side
    63,510.75x = 20,180,226,763.27
  5. Step 5: Solve for x
    x = 20,180,226,763.27/63,510.75
  6. Step 6: Final answer
    x = 317,745.06

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.