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Finding the Third Proportional to 59,978 and 89,481

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Solution

The third proportional to 59,978 and 89,481 is: 133,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,978 : 89,481 = 89,481 : x
  2. Step 2: Convert to fraction form
    59,978/89,481 = 89,481/x
  3. Step 3: Cross multiply
    59,978x = 89,481 × 89,481
  4. Step 4: Simplify right side
    59,978x = 8,006,849,361
  5. Step 5: Solve for x
    x = 8,006,849,361/59,978
  6. Step 6: Final answer
    x = 133,496.44

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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.