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Finding the Third Proportional to 63,457 and 137,524

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Solution

The third proportional to 63,457 and 137,524 is: 298,041.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,457 : 137,524 = 137,524 : x
  2. Step 2: Convert to fraction form
    63,457/137,524 = 137,524/x
  3. Step 3: Cross multiply
    63,457x = 137,524 × 137,524
  4. Step 4: Simplify right side
    63,457x = 18,912,850,576
  5. Step 5: Solve for x
    x = 18,912,850,576/63,457
  6. Step 6: Final answer
    x = 298,041.99

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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.