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Finding the Third Proportional to 63,591 and 137,023

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Solution

The third proportional to 63,591 and 137,023 is: 295,250.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,591 : 137,023 = 137,023 : x
  2. Step 2: Convert to fraction form
    63,591/137,023 = 137,023/x
  3. Step 3: Cross multiply
    63,591x = 137,023 × 137,023
  4. Step 4: Simplify right side
    63,591x = 18,775,302,529
  5. Step 5: Solve for x
    x = 18,775,302,529/63,591
  6. Step 6: Final answer
    x = 295,250.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.