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Finding the Third Proportional to 125,098.50 and 188,728.50

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Solution

The third proportional to 125,098.50 and 188,728.50 is: 284,723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,098.50 : 188,728.50 = 188,728.50 : x
  2. Step 2: Convert to fraction form
    125,098.50/188,728.50 = 188,728.50/x
  3. Step 3: Cross multiply
    125,098.50x = 188,728.50 × 188,728.50
  4. Step 4: Simplify right side
    125,098.50x = 35,618,446,712.25
  5. Step 5: Solve for x
    x = 35,618,446,712.25/125,098.50
  6. Step 6: Final answer
    x = 284,723.21

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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.