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Finding the Third Proportional to 113,254.13 and 166,073.81

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Solution

The third proportional to 113,254.13 and 166,073.81 is: 243,527.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,254.13 : 166,073.81 = 166,073.81 : x
  2. Step 2: Convert to fraction form
    113,254.13/166,073.81 = 166,073.81/x
  3. Step 3: Cross multiply
    113,254.13x = 166,073.81 × 166,073.81
  4. Step 4: Simplify right side
    113,254.13x = 27,580,511,198.29
  5. Step 5: Solve for x
    x = 27,580,511,198.29/113,254.13
  6. Step 6: Final answer
    x = 243,527.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.