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Finding the Third Proportional to 60,072 and 86,532

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Solution

The third proportional to 60,072 and 86,532 is: 124,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,072 : 86,532 = 86,532 : x
  2. Step 2: Convert to fraction form
    60,072/86,532 = 86,532/x
  3. Step 3: Cross multiply
    60,072x = 86,532 × 86,532
  4. Step 4: Simplify right side
    60,072x = 7,487,787,024
  5. Step 5: Solve for x
    x = 7,487,787,024/60,072
  6. Step 6: Final answer
    x = 124,646.87

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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.