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Finding the Third Proportional to 61,731 and 92,190

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Solution

The third proportional to 61,731 and 92,190 is: 137,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,731 : 92,190 = 92,190 : x
  2. Step 2: Convert to fraction form
    61,731/92,190 = 92,190/x
  3. Step 3: Cross multiply
    61,731x = 92,190 × 92,190
  4. Step 4: Simplify right side
    61,731x = 8,498,996,100
  5. Step 5: Solve for x
    x = 8,498,996,100/61,731
  6. Step 6: Final answer
    x = 137,677.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.