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Finding the Third Proportional to 59,587 and 123,298

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Solution

The third proportional to 59,587 and 123,298 is: 255,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,587 : 123,298 = 123,298 : x
  2. Step 2: Convert to fraction form
    59,587/123,298 = 123,298/x
  3. Step 3: Cross multiply
    59,587x = 123,298 × 123,298
  4. Step 4: Simplify right side
    59,587x = 15,202,396,804
  5. Step 5: Solve for x
    x = 15,202,396,804/59,587
  6. Step 6: Final answer
    x = 255,129.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.