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Finding the Third Proportional to 62,502 and 135,672

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Solution

The third proportional to 62,502 and 135,672 is: 294,500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,502 : 135,672 = 135,672 : x
  2. Step 2: Convert to fraction form
    62,502/135,672 = 135,672/x
  3. Step 3: Cross multiply
    62,502x = 135,672 × 135,672
  4. Step 4: Simplify right side
    62,502x = 18,406,891,584
  5. Step 5: Solve for x
    x = 18,406,891,584/62,502
  6. Step 6: Final answer
    x = 294,500.84

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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.