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Finding the Third Proportional to 113,744.25 and 166,510.69

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Solution

The third proportional to 113,744.25 and 166,510.69 is: 243,755.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,744.25 : 166,510.69 = 166,510.69 : x
  2. Step 2: Convert to fraction form
    113,744.25/166,510.69 = 166,510.69/x
  3. Step 3: Cross multiply
    113,744.25x = 166,510.69 × 166,510.69
  4. Step 4: Simplify right side
    113,744.25x = 27,725,809,051.72
  5. Step 5: Solve for x
    x = 27,725,809,051.72/113,744.25
  6. Step 6: Final answer
    x = 243,755.70

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.