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Finding the Third Proportional to 59,865 and 79,882.13

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Solution

The third proportional to 59,865 and 79,882.13 is: 106,592.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,865 : 79,882.13 = 79,882.13 : x
  2. Step 2: Convert to fraction form
    59,865/79,882.13 = 79,882.13/x
  3. Step 3: Cross multiply
    59,865x = 79,882.13 × 79,882.13
  4. Step 4: Simplify right side
    59,865x = 6,381,153,894.52
  5. Step 5: Solve for x
    x = 6,381,153,894.52/59,865
  6. Step 6: Final answer
    x = 106,592.40

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.