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Finding the Third Proportional to 63,477 and 137,889

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Solution

The third proportional to 63,477 and 137,889 is: 299,531.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,477 : 137,889 = 137,889 : x
  2. Step 2: Convert to fraction form
    63,477/137,889 = 137,889/x
  3. Step 3: Cross multiply
    63,477x = 137,889 × 137,889
  4. Step 4: Simplify right side
    63,477x = 19,013,376,321
  5. Step 5: Solve for x
    x = 19,013,376,321/63,477
  6. Step 6: Final answer
    x = 299,531.74

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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.