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Finding the Third Proportional to 58,266 and 124,842

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Solution

The third proportional to 58,266 and 124,842 is: 267,489.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,266 : 124,842 = 124,842 : x
  2. Step 2: Convert to fraction form
    58,266/124,842 = 124,842/x
  3. Step 3: Cross multiply
    58,266x = 124,842 × 124,842
  4. Step 4: Simplify right side
    58,266x = 15,585,524,964
  5. Step 5: Solve for x
    x = 15,585,524,964/58,266
  6. Step 6: Final answer
    x = 267,489.19

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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.