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Finding the Third Proportional to 41,302.41 and 85,308.19

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Solution

The third proportional to 41,302.41 and 85,308.19 is: 176,200.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,302.41 : 85,308.19 = 85,308.19 : x
  2. Step 2: Convert to fraction form
    41,302.41/85,308.19 = 85,308.19/x
  3. Step 3: Cross multiply
    41,302.41x = 85,308.19 × 85,308.19
  4. Step 4: Simplify right side
    41,302.41x = 7,277,486,854.54
  5. Step 5: Solve for x
    x = 7,277,486,854.54/41,302.41
  6. Step 6: Final answer
    x = 176,200.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.