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Finding the Third Proportional to 59,098 and 124,392

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Solution

The third proportional to 59,098 and 124,392 is: 261,825.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,098 : 124,392 = 124,392 : x
  2. Step 2: Convert to fraction form
    59,098/124,392 = 124,392/x
  3. Step 3: Cross multiply
    59,098x = 124,392 × 124,392
  4. Step 4: Simplify right side
    59,098x = 15,473,369,664
  5. Step 5: Solve for x
    x = 15,473,369,664/59,098
  6. Step 6: Final answer
    x = 261,825.61

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.