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Finding the Third Proportional to 63,356.34 and 137,169.28

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Solution

The third proportional to 63,356.34 and 137,169.28 is: 296,977.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,356.34 : 137,169.28 = 137,169.28 : x
  2. Step 2: Convert to fraction form
    63,356.34/137,169.28 = 137,169.28/x
  3. Step 3: Cross multiply
    63,356.34x = 137,169.28 × 137,169.28
  4. Step 4: Simplify right side
    63,356.34x = 18,815,411,718.64
  5. Step 5: Solve for x
    x = 18,815,411,718.64/63,356.34
  6. Step 6: Final answer
    x = 296,977.55

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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.