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Finding the Third Proportional to 122,042.25 and 188,952

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Solution

The third proportional to 122,042.25 and 188,952 is: 292,545.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,042.25 : 188,952 = 188,952 : x
  2. Step 2: Convert to fraction form
    122,042.25/188,952 = 188,952/x
  3. Step 3: Cross multiply
    122,042.25x = 188,952 × 188,952
  4. Step 4: Simplify right side
    122,042.25x = 35,702,858,304
  5. Step 5: Solve for x
    x = 35,702,858,304/122,042.25
  6. Step 6: Final answer
    x = 292,545.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.