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Finding the Third Proportional to 125,112 and 188,748

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Solution

The third proportional to 125,112 and 188,748 is: 284,751.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,112 : 188,748 = 188,748 : x
  2. Step 2: Convert to fraction form
    125,112/188,748 = 188,748/x
  3. Step 3: Cross multiply
    125,112x = 188,748 × 188,748
  4. Step 4: Simplify right side
    125,112x = 35,625,807,504
  5. Step 5: Solve for x
    x = 35,625,807,504/125,112
  6. Step 6: Final answer
    x = 284,751.32

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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.