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Finding the Third Proportional to 63,184 and 137,439

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Solution

The third proportional to 63,184 and 137,439 is: 298,959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,184 : 137,439 = 137,439 : x
  2. Step 2: Convert to fraction form
    63,184/137,439 = 137,439/x
  3. Step 3: Cross multiply
    63,184x = 137,439 × 137,439
  4. Step 4: Simplify right side
    63,184x = 18,889,478,721
  5. Step 5: Solve for x
    x = 18,889,478,721/63,184
  6. Step 6: Final answer
    x = 298,959.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.