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Finding the Third Proportional to 63,515 and 137,074

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Solution

The third proportional to 63,515 and 137,074 is: 295,824.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,515 : 137,074 = 137,074 : x
  2. Step 2: Convert to fraction form
    63,515/137,074 = 137,074/x
  3. Step 3: Cross multiply
    63,515x = 137,074 × 137,074
  4. Step 4: Simplify right side
    63,515x = 18,789,281,476
  5. Step 5: Solve for x
    x = 18,789,281,476/63,515
  6. Step 6: Final answer
    x = 295,824.32

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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.