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Finding the Third Proportional to 59,561 and 124,023

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Solution

The third proportional to 59,561 and 124,023 is: 258,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,561 : 124,023 = 124,023 : x
  2. Step 2: Convert to fraction form
    59,561/124,023 = 124,023/x
  3. Step 3: Cross multiply
    59,561x = 124,023 × 124,023
  4. Step 4: Simplify right side
    59,561x = 15,381,704,529
  5. Step 5: Solve for x
    x = 15,381,704,529/59,561
  6. Step 6: Final answer
    x = 258,251.28

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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.