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Finding the Third Proportional to 41,557 and 85,565

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Solution

The third proportional to 41,557 and 85,565 is: 176,176.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,557 : 85,565 = 85,565 : x
  2. Step 2: Convert to fraction form
    41,557/85,565 = 85,565/x
  3. Step 3: Cross multiply
    41,557x = 85,565 × 85,565
  4. Step 4: Simplify right side
    41,557x = 7,321,369,225
  5. Step 5: Solve for x
    x = 7,321,369,225/41,557
  6. Step 6: Final answer
    x = 176,176.56

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.