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Finding the Third Proportional to 100,753.88 and 153,545.63

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Solution

The third proportional to 100,753.88 and 153,545.63 is: 233,998.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,753.88 : 153,545.63 = 153,545.63 : x
  2. Step 2: Convert to fraction form
    100,753.88/153,545.63 = 153,545.63/x
  3. Step 3: Cross multiply
    100,753.88x = 153,545.63 × 153,545.63
  4. Step 4: Simplify right side
    100,753.88x = 23,576,258,956.64
  5. Step 5: Solve for x
    x = 23,576,258,956.64/100,753.88
  6. Step 6: Final answer
    x = 233,998.53

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Why These Related Problems?

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