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Finding the Third Proportional to 58,971 and 124,599

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Solution

The third proportional to 58,971 and 124,599 is: 263,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,971 : 124,599 = 124,599 : x
  2. Step 2: Convert to fraction form
    58,971/124,599 = 124,599/x
  3. Step 3: Cross multiply
    58,971x = 124,599 × 124,599
  4. Step 4: Simplify right side
    58,971x = 15,524,910,801
  5. Step 5: Solve for x
    x = 15,524,910,801/58,971
  6. Step 6: Final answer
    x = 263,263.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.