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Finding the Third Proportional to 63,461 and 137,533

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Solution

The third proportional to 63,461 and 137,533 is: 298,062.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,461 : 137,533 = 137,533 : x
  2. Step 2: Convert to fraction form
    63,461/137,533 = 137,533/x
  3. Step 3: Cross multiply
    63,461x = 137,533 × 137,533
  4. Step 4: Simplify right side
    63,461x = 18,915,326,089
  5. Step 5: Solve for x
    x = 18,915,326,089/63,461
  6. Step 6: Final answer
    x = 298,062.21

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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.