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Finding the Third Proportional to 58,241 and 124,792

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Solution

The third proportional to 58,241 and 124,792 is: 267,389.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,241 : 124,792 = 124,792 : x
  2. Step 2: Convert to fraction form
    58,241/124,792 = 124,792/x
  3. Step 3: Cross multiply
    58,241x = 124,792 × 124,792
  4. Step 4: Simplify right side
    58,241x = 15,573,043,264
  5. Step 5: Solve for x
    x = 15,573,043,264/58,241
  6. Step 6: Final answer
    x = 267,389.70

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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.