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Finding the Third Proportional to 63,122 and 137,543

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Solution

The third proportional to 63,122 and 137,543 is: 299,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,122 : 137,543 = 137,543 : x
  2. Step 2: Convert to fraction form
    63,122/137,543 = 137,543/x
  3. Step 3: Cross multiply
    63,122x = 137,543 × 137,543
  4. Step 4: Simplify right side
    63,122x = 18,918,076,849
  5. Step 5: Solve for x
    x = 18,918,076,849/63,122
  6. Step 6: Final answer
    x = 299,706.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.