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Finding the Third Proportional to 60,712 and 85,992

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Solution

The third proportional to 60,712 and 85,992 is: 121,798.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,712 : 85,992 = 85,992 : x
  2. Step 2: Convert to fraction form
    60,712/85,992 = 85,992/x
  3. Step 3: Cross multiply
    60,712x = 85,992 × 85,992
  4. Step 4: Simplify right side
    60,712x = 7,394,624,064
  5. Step 5: Solve for x
    x = 7,394,624,064/60,712
  6. Step 6: Final answer
    x = 121,798.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.