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Finding the Third Proportional to 63,466 and 137,856

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Solution

The third proportional to 63,466 and 137,856 is: 299,440.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,466 : 137,856 = 137,856 : x
  2. Step 2: Convert to fraction form
    63,466/137,856 = 137,856/x
  3. Step 3: Cross multiply
    63,466x = 137,856 × 137,856
  4. Step 4: Simplify right side
    63,466x = 19,004,276,736
  5. Step 5: Solve for x
    x = 19,004,276,736/63,466
  6. Step 6: Final answer
    x = 299,440.28

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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.