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Finding the Third Proportional to 83,890.50 and 117,591.75

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Solution

The third proportional to 83,890.50 and 117,591.75 is: 164,831.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,890.50 : 117,591.75 = 117,591.75 : x
  2. Step 2: Convert to fraction form
    83,890.50/117,591.75 = 117,591.75/x
  3. Step 3: Cross multiply
    83,890.50x = 117,591.75 × 117,591.75
  4. Step 4: Simplify right side
    83,890.50x = 13,827,819,668.06
  5. Step 5: Solve for x
    x = 13,827,819,668.06/83,890.50
  6. Step 6: Final answer
    x = 164,831.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.