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Finding the Third Proportional to 60,071 and 86,530

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Solution

The third proportional to 60,071 and 86,530 is: 124,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,071 : 86,530 = 86,530 : x
  2. Step 2: Convert to fraction form
    60,071/86,530 = 86,530/x
  3. Step 3: Cross multiply
    60,071x = 86,530 × 86,530
  4. Step 4: Simplify right side
    60,071x = 7,487,440,900
  5. Step 5: Solve for x
    x = 7,487,440,900/60,071
  6. Step 6: Final answer
    x = 124,643.19

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.