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Finding the Third Proportional to 63,058 and 134,540

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Solution

The third proportional to 63,058 and 134,540 is: 287,053.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,058 : 134,540 = 134,540 : x
  2. Step 2: Convert to fraction form
    63,058/134,540 = 134,540/x
  3. Step 3: Cross multiply
    63,058x = 134,540 × 134,540
  4. Step 4: Simplify right side
    63,058x = 18,101,011,600
  5. Step 5: Solve for x
    x = 18,101,011,600/63,058
  6. Step 6: Final answer
    x = 287,053.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.