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Finding the Third Proportional to 63,562 and 137,579

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Solution

The third proportional to 63,562 and 137,579 is: 297,787.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,562 : 137,579 = 137,579 : x
  2. Step 2: Convert to fraction form
    63,562/137,579 = 137,579/x
  3. Step 3: Cross multiply
    63,562x = 137,579 × 137,579
  4. Step 4: Simplify right side
    63,562x = 18,927,981,241
  5. Step 5: Solve for x
    x = 18,927,981,241/63,562
  6. Step 6: Final answer
    x = 297,787.69

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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.