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Finding the Third Proportional to 100,029.25 and 154,836.13

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Solution

The third proportional to 100,029.25 and 154,836.13 is: 239,672.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,029.25 : 154,836.13 = 154,836.13 : x
  2. Step 2: Convert to fraction form
    100,029.25/154,836.13 = 154,836.13/x
  3. Step 3: Cross multiply
    100,029.25x = 154,836.13 × 154,836.13
  4. Step 4: Simplify right side
    100,029.25x = 23,974,225,605.02
  5. Step 5: Solve for x
    x = 23,974,225,605.02/100,029.25
  6. Step 6: Final answer
    x = 239,672.15

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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.