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Finding the Third Proportional to 62,655 and 135,092

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Solution

The third proportional to 62,655 and 135,092 is: 291,275.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,655 : 135,092 = 135,092 : x
  2. Step 2: Convert to fraction form
    62,655/135,092 = 135,092/x
  3. Step 3: Cross multiply
    62,655x = 135,092 × 135,092
  4. Step 4: Simplify right side
    62,655x = 18,249,848,464
  5. Step 5: Solve for x
    x = 18,249,848,464/62,655
  6. Step 6: Final answer
    x = 291,275.21

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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.