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Finding the Third Proportional to 48,092 and 67,262

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Solution

The third proportional to 48,092 and 67,262 is: 94,073.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,092 : 67,262 = 67,262 : x
  2. Step 2: Convert to fraction form
    48,092/67,262 = 67,262/x
  3. Step 3: Cross multiply
    48,092x = 67,262 × 67,262
  4. Step 4: Simplify right side
    48,092x = 4,524,176,644
  5. Step 5: Solve for x
    x = 4,524,176,644/48,092
  6. Step 6: Final answer
    x = 94,073.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.