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Finding the Third Proportional to 63,468 and 137,340

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Solution

The third proportional to 63,468 and 137,340 is: 297,193.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,468 : 137,340 = 137,340 : x
  2. Step 2: Convert to fraction form
    63,468/137,340 = 137,340/x
  3. Step 3: Cross multiply
    63,468x = 137,340 × 137,340
  4. Step 4: Simplify right side
    63,468x = 18,862,275,600
  5. Step 5: Solve for x
    x = 18,862,275,600/63,468
  6. Step 6: Final answer
    x = 297,193.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.