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Finding the Third Proportional to 63,553 and 136,957

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Solution

The third proportional to 63,553 and 136,957 is: 295,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,553 : 136,957 = 136,957 : x
  2. Step 2: Convert to fraction form
    63,553/136,957 = 136,957/x
  3. Step 3: Cross multiply
    63,553x = 136,957 × 136,957
  4. Step 4: Simplify right side
    63,553x = 18,757,219,849
  5. Step 5: Solve for x
    x = 18,757,219,849/63,553
  6. Step 6: Final answer
    x = 295,142.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.