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Finding the Third Proportional to 85,916 and 126,048

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Solution

The third proportional to 85,916 and 126,048 is: 184,925.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,916 : 126,048 = 126,048 : x
  2. Step 2: Convert to fraction form
    85,916/126,048 = 126,048/x
  3. Step 3: Cross multiply
    85,916x = 126,048 × 126,048
  4. Step 4: Simplify right side
    85,916x = 15,888,098,304
  5. Step 5: Solve for x
    x = 15,888,098,304/85,916
  6. Step 6: Final answer
    x = 184,925.95

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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.