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Finding the Third Proportional to 62,962 and 136,292

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Solution

The third proportional to 62,962 and 136,292 is: 295,027.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,962 : 136,292 = 136,292 : x
  2. Step 2: Convert to fraction form
    62,962/136,292 = 136,292/x
  3. Step 3: Cross multiply
    62,962x = 136,292 × 136,292
  4. Step 4: Simplify right side
    62,962x = 18,575,509,264
  5. Step 5: Solve for x
    x = 18,575,509,264/62,962
  6. Step 6: Final answer
    x = 295,027.31

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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.