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Finding the Third Proportional to 60,024 and 86,460

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Solution

The third proportional to 60,024 and 86,460 is: 124,539.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,024 : 86,460 = 86,460 : x
  2. Step 2: Convert to fraction form
    60,024/86,460 = 86,460/x
  3. Step 3: Cross multiply
    60,024x = 86,460 × 86,460
  4. Step 4: Simplify right side
    60,024x = 7,475,331,600
  5. Step 5: Solve for x
    x = 7,475,331,600/60,024
  6. Step 6: Final answer
    x = 124,539.04

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Why These Related Problems?

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