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Finding the Third Proportional to 62,202 and 133,277

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Solution

The third proportional to 62,202 and 133,277 is: 285,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,202 : 133,277 = 133,277 : x
  2. Step 2: Convert to fraction form
    62,202/133,277 = 133,277/x
  3. Step 3: Cross multiply
    62,202x = 133,277 × 133,277
  4. Step 4: Simplify right side
    62,202x = 17,762,758,729
  5. Step 5: Solve for x
    x = 17,762,758,729/62,202
  6. Step 6: Final answer
    x = 285,565.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.