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Finding the Third Proportional to 83,225.81 and 117,762.75

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Solution

The third proportional to 83,225.81 and 117,762.75 is: 166,631.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,225.81 : 117,762.75 = 117,762.75 : x
  2. Step 2: Convert to fraction form
    83,225.81/117,762.75 = 117,762.75/x
  3. Step 3: Cross multiply
    83,225.81x = 117,762.75 × 117,762.75
  4. Step 4: Simplify right side
    83,225.81x = 13,868,065,287.56
  5. Step 5: Solve for x
    x = 13,868,065,287.56/83,225.81
  6. Step 6: Final answer
    x = 166,631.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.