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Finding the Third Proportional to 63,138 and 95,772

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Solution

The third proportional to 63,138 and 95,772 is: 145,273.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,138 : 95,772 = 95,772 : x
  2. Step 2: Convert to fraction form
    63,138/95,772 = 95,772/x
  3. Step 3: Cross multiply
    63,138x = 95,772 × 95,772
  4. Step 4: Simplify right side
    63,138x = 9,172,275,984
  5. Step 5: Solve for x
    x = 9,172,275,984/63,138
  6. Step 6: Final answer
    x = 145,273.46

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.