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Finding the Third Proportional to 59,877 and 88,650

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Solution

The third proportional to 59,877 and 88,650 is: 131,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,877 : 88,650 = 88,650 : x
  2. Step 2: Convert to fraction form
    59,877/88,650 = 88,650/x
  3. Step 3: Cross multiply
    59,877x = 88,650 × 88,650
  4. Step 4: Simplify right side
    59,877x = 7,858,822,500
  5. Step 5: Solve for x
    x = 7,858,822,500/59,877
  6. Step 6: Final answer
    x = 131,249.44

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.