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Finding the Third Proportional to 63,076 and 137,352

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Solution

The third proportional to 63,076 and 137,352 is: 299,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,076 : 137,352 = 137,352 : x
  2. Step 2: Convert to fraction form
    63,076/137,352 = 137,352/x
  3. Step 3: Cross multiply
    63,076x = 137,352 × 137,352
  4. Step 4: Simplify right side
    63,076x = 18,865,571,904
  5. Step 5: Solve for x
    x = 18,865,571,904/63,076
  6. Step 6: Final answer
    x = 299,092.71

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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.