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Finding the Third Proportional to 75,278.25 and 108,202.50

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Solution

The third proportional to 75,278.25 and 108,202.50 is: 155,526.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,278.25 : 108,202.50 = 108,202.50 : x
  2. Step 2: Convert to fraction form
    75,278.25/108,202.50 = 108,202.50/x
  3. Step 3: Cross multiply
    75,278.25x = 108,202.50 × 108,202.50
  4. Step 4: Simplify right side
    75,278.25x = 11,707,781,006.25
  5. Step 5: Solve for x
    x = 11,707,781,006.25/75,278.25
  6. Step 6: Final answer
    x = 155,526.74

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.