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Finding the Third Proportional to 85,092 and 187,572

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Solution

The third proportional to 85,092 and 187,572 is: 413,473.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,092 : 187,572 = 187,572 : x
  2. Step 2: Convert to fraction form
    85,092/187,572 = 187,572/x
  3. Step 3: Cross multiply
    85,092x = 187,572 × 187,572
  4. Step 4: Simplify right side
    85,092x = 35,183,255,184
  5. Step 5: Solve for x
    x = 35,183,255,184/85,092
  6. Step 6: Final answer
    x = 413,473.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.