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Finding the Third Proportional to 60,438 and 89,847

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Solution

The third proportional to 60,438 and 89,847 is: 133,566.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,438 : 89,847 = 89,847 : x
  2. Step 2: Convert to fraction form
    60,438/89,847 = 89,847/x
  3. Step 3: Cross multiply
    60,438x = 89,847 × 89,847
  4. Step 4: Simplify right side
    60,438x = 8,072,483,409
  5. Step 5: Solve for x
    x = 8,072,483,409/60,438
  6. Step 6: Final answer
    x = 133,566.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.