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Finding the Third Proportional to 62,740 and 92,190

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Solution

The third proportional to 62,740 and 92,190 is: 135,463.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,740 : 92,190 = 92,190 : x
  2. Step 2: Convert to fraction form
    62,740/92,190 = 92,190/x
  3. Step 3: Cross multiply
    62,740x = 92,190 × 92,190
  4. Step 4: Simplify right side
    62,740x = 8,498,996,100
  5. Step 5: Solve for x
    x = 8,498,996,100/62,740
  6. Step 6: Final answer
    x = 135,463.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.