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Finding the Third Proportional to 70,103.25 and 150,048

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Solution

The third proportional to 70,103.25 and 150,048 is: 321,160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,103.25 : 150,048 = 150,048 : x
  2. Step 2: Convert to fraction form
    70,103.25/150,048 = 150,048/x
  3. Step 3: Cross multiply
    70,103.25x = 150,048 × 150,048
  4. Step 4: Simplify right side
    70,103.25x = 22,514,402,304
  5. Step 5: Solve for x
    x = 22,514,402,304/70,103.25
  6. Step 6: Final answer
    x = 321,160.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.