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Finding the Third Proportional to 125,077.50 and 188,703

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Solution

The third proportional to 125,077.50 and 188,703 is: 284,694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,077.50 : 188,703 = 188,703 : x
  2. Step 2: Convert to fraction form
    125,077.50/188,703 = 188,703/x
  3. Step 3: Cross multiply
    125,077.50x = 188,703 × 188,703
  4. Step 4: Simplify right side
    125,077.50x = 35,608,822,209
  5. Step 5: Solve for x
    x = 35,608,822,209/125,077.50
  6. Step 6: Final answer
    x = 284,694.07

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