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Finding the Third Proportional to 125,488 and 188,510

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Solution

The third proportional to 125,488 and 188,510 is: 283,182.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,488 : 188,510 = 188,510 : x
  2. Step 2: Convert to fraction form
    125,488/188,510 = 188,510/x
  3. Step 3: Cross multiply
    125,488x = 188,510 × 188,510
  4. Step 4: Simplify right side
    125,488x = 35,536,020,100
  5. Step 5: Solve for x
    x = 35,536,020,100/125,488
  6. Step 6: Final answer
    x = 283,182.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.