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Finding the Third Proportional to 114,775.88 and 161,344.13

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Solution

The third proportional to 114,775.88 and 161,344.13 is: 226,806.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,775.88 : 161,344.13 = 161,344.13 : x
  2. Step 2: Convert to fraction form
    114,775.88/161,344.13 = 161,344.13/x
  3. Step 3: Cross multiply
    114,775.88x = 161,344.13 × 161,344.13
  4. Step 4: Simplify right side
    114,775.88x = 26,031,926,672.02
  5. Step 5: Solve for x
    x = 26,031,926,672.02/114,775.88
  6. Step 6: Final answer
    x = 226,806.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.