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Finding the Third Proportional to 59,817.87 and 122,711.20

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Solution

The third proportional to 59,817.87 and 122,711.20 is: 251,731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,817.87 : 122,711.20 = 122,711.20 : x
  2. Step 2: Convert to fraction form
    59,817.87/122,711.20 = 122,711.20/x
  3. Step 3: Cross multiply
    59,817.87x = 122,711.20 × 122,711.20
  4. Step 4: Simplify right side
    59,817.87x = 15,058,039,372.39
  5. Step 5: Solve for x
    x = 15,058,039,372.39/59,817.87
  6. Step 6: Final answer
    x = 251,731.47

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.