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Finding the Third Proportional to 58,058 and 124,540

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Solution

The third proportional to 58,058 and 124,540 is: 267,150.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,058 : 124,540 = 124,540 : x
  2. Step 2: Convert to fraction form
    58,058/124,540 = 124,540/x
  3. Step 3: Cross multiply
    58,058x = 124,540 × 124,540
  4. Step 4: Simplify right side
    58,058x = 15,510,211,600
  5. Step 5: Solve for x
    x = 15,510,211,600/58,058
  6. Step 6: Final answer
    x = 267,150.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.