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Finding the Third Proportional to 62,836 and 136,580

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Solution

The third proportional to 62,836 and 136,580 is: 296,869.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,836 : 136,580 = 136,580 : x
  2. Step 2: Convert to fraction form
    62,836/136,580 = 136,580/x
  3. Step 3: Cross multiply
    62,836x = 136,580 × 136,580
  4. Step 4: Simplify right side
    62,836x = 18,654,096,400
  5. Step 5: Solve for x
    x = 18,654,096,400/62,836
  6. Step 6: Final answer
    x = 296,869.57

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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.