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Finding the Third Proportional to 60,074 and 86,534

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Solution

The third proportional to 60,074 and 86,534 is: 124,648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,074 : 86,534 = 86,534 : x
  2. Step 2: Convert to fraction form
    60,074/86,534 = 86,534/x
  3. Step 3: Cross multiply
    60,074x = 86,534 × 86,534
  4. Step 4: Simplify right side
    60,074x = 7,488,133,156
  5. Step 5: Solve for x
    x = 7,488,133,156/60,074
  6. Step 6: Final answer
    x = 124,648.49

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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.