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Finding the Third Proportional to 58,292 and 124,894

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Solution

The third proportional to 58,292 and 124,894 is: 267,592.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,292 : 124,894 = 124,894 : x
  2. Step 2: Convert to fraction form
    58,292/124,894 = 124,894/x
  3. Step 3: Cross multiply
    58,292x = 124,894 × 124,894
  4. Step 4: Simplify right side
    58,292x = 15,598,511,236
  5. Step 5: Solve for x
    x = 15,598,511,236/58,292
  6. Step 6: Final answer
    x = 267,592.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.