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Finding the Third Proportional to 48,092 and 64,186

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Solution

The third proportional to 48,092 and 64,186 is: 85,665.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,092 : 64,186 = 64,186 : x
  2. Step 2: Convert to fraction form
    48,092/64,186 = 64,186/x
  3. Step 3: Cross multiply
    48,092x = 64,186 × 64,186
  4. Step 4: Simplify right side
    48,092x = 4,119,842,596
  5. Step 5: Solve for x
    x = 4,119,842,596/48,092
  6. Step 6: Final answer
    x = 85,665.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.