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Finding the Third Proportional to 84,177.50 and 181,708.25

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Solution

The third proportional to 84,177.50 and 181,708.25 is: 392,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,177.50 : 181,708.25 = 181,708.25 : x
  2. Step 2: Convert to fraction form
    84,177.50/181,708.25 = 181,708.25/x
  3. Step 3: Cross multiply
    84,177.50x = 181,708.25 × 181,708.25
  4. Step 4: Simplify right side
    84,177.50x = 33,017,888,118.06
  5. Step 5: Solve for x
    x = 33,017,888,118.06/84,177.50
  6. Step 6: Final answer
    x = 392,241.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.