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Finding the Third Proportional to 85,348.50 and 129,201.75

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Solution

The third proportional to 85,348.50 and 129,201.75 is: 195,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,348.50 : 129,201.75 = 129,201.75 : x
  2. Step 2: Convert to fraction form
    85,348.50/129,201.75 = 129,201.75/x
  3. Step 3: Cross multiply
    85,348.50x = 129,201.75 × 129,201.75
  4. Step 4: Simplify right side
    85,348.50x = 16,693,092,203.06
  5. Step 5: Solve for x
    x = 16,693,092,203.06/85,348.50
  6. Step 6: Final answer
    x = 195,587.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.