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Finding the Third Proportional to 86,123.25 and 126,177.75

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Solution

The third proportional to 86,123.25 and 126,177.75 is: 184,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,123.25 : 126,177.75 = 126,177.75 : x
  2. Step 2: Convert to fraction form
    86,123.25/126,177.75 = 126,177.75/x
  3. Step 3: Cross multiply
    86,123.25x = 126,177.75 × 126,177.75
  4. Step 4: Simplify right side
    86,123.25x = 15,920,824,595.06
  5. Step 5: Solve for x
    x = 15,920,824,595.06/86,123.25
  6. Step 6: Final answer
    x = 184,860.94

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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.