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Finding the Third Proportional to 85,344 and 125,376

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Solution

The third proportional to 85,344 and 125,376 is: 184,185.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,344 : 125,376 = 125,376 : x
  2. Step 2: Convert to fraction form
    85,344/125,376 = 125,376/x
  3. Step 3: Cross multiply
    85,344x = 125,376 × 125,376
  4. Step 4: Simplify right side
    85,344x = 15,719,141,376
  5. Step 5: Solve for x
    x = 15,719,141,376/85,344
  6. Step 6: Final answer
    x = 184,185.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.