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Finding the Third Proportional to 124,920 and 190,488.38

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Solution

The third proportional to 124,920 and 190,488.38 is: 290,472.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,920 : 190,488.38 = 190,488.38 : x
  2. Step 2: Convert to fraction form
    124,920/190,488.38 = 190,488.38/x
  3. Step 3: Cross multiply
    124,920x = 190,488.38 × 190,488.38
  4. Step 4: Simplify right side
    124,920x = 36,285,821,010.14
  5. Step 5: Solve for x
    x = 36,285,821,010.14/124,920
  6. Step 6: Final answer
    x = 290,472.47

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.