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Finding the Third Proportional to 60,507 and 132,959

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Solution

The third proportional to 60,507 and 132,959 is: 292,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,507 : 132,959 = 132,959 : x
  2. Step 2: Convert to fraction form
    60,507/132,959 = 132,959/x
  3. Step 3: Cross multiply
    60,507x = 132,959 × 132,959
  4. Step 4: Simplify right side
    60,507x = 17,678,095,681
  5. Step 5: Solve for x
    x = 17,678,095,681/60,507
  6. Step 6: Final answer
    x = 292,166.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.