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Finding the Third Proportional to 109,986.38 and 171,552.56

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Solution

The third proportional to 109,986.38 and 171,552.56 is: 267,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,986.38 : 171,552.56 = 171,552.56 : x
  2. Step 2: Convert to fraction form
    109,986.38/171,552.56 = 171,552.56/x
  3. Step 3: Cross multiply
    109,986.38x = 171,552.56 × 171,552.56
  4. Step 4: Simplify right side
    109,986.38x = 29,430,281,700.32
  5. Step 5: Solve for x
    x = 29,430,281,700.32/109,986.38
  6. Step 6: Final answer
    x = 267,581.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.