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Finding the Third Proportional to 59,432 and 123,844

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Solution

The third proportional to 59,432 and 123,844 is: 258,065.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,432 : 123,844 = 123,844 : x
  2. Step 2: Convert to fraction form
    59,432/123,844 = 123,844/x
  3. Step 3: Cross multiply
    59,432x = 123,844 × 123,844
  4. Step 4: Simplify right side
    59,432x = 15,337,336,336
  5. Step 5: Solve for x
    x = 15,337,336,336/59,432
  6. Step 6: Final answer
    x = 258,065.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.