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Finding the Third Proportional to 63,040 and 136,581

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Solution

The third proportional to 63,040 and 136,581 is: 295,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,040 : 136,581 = 136,581 : x
  2. Step 2: Convert to fraction form
    63,040/136,581 = 136,581/x
  3. Step 3: Cross multiply
    63,040x = 136,581 × 136,581
  4. Step 4: Simplify right side
    63,040x = 18,654,369,561
  5. Step 5: Solve for x
    x = 18,654,369,561/63,040
  6. Step 6: Final answer
    x = 295,913.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.