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Finding the Third Proportional to 84,218.06 and 126,668.81

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Solution

The third proportional to 84,218.06 and 126,668.81 is: 190,517.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,218.06 : 126,668.81 = 126,668.81 : x
  2. Step 2: Convert to fraction form
    84,218.06/126,668.81 = 126,668.81/x
  3. Step 3: Cross multiply
    84,218.06x = 126,668.81 × 126,668.81
  4. Step 4: Simplify right side
    84,218.06x = 16,044,988,060.16
  5. Step 5: Solve for x
    x = 16,044,988,060.16/84,218.06
  6. Step 6: Final answer
    x = 190,517.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.