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Finding the Third Proportional to 86,092 and 185,776

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Solution

The third proportional to 86,092 and 185,776 is: 400,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,092 : 185,776 = 185,776 : x
  2. Step 2: Convert to fraction form
    86,092/185,776 = 185,776/x
  3. Step 3: Cross multiply
    86,092x = 185,776 × 185,776
  4. Step 4: Simplify right side
    86,092x = 34,512,722,176
  5. Step 5: Solve for x
    x = 34,512,722,176/86,092
  6. Step 6: Final answer
    x = 400,881.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.