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Finding the Third Proportional to 110,685.75 and 166,052.63

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Solution

The third proportional to 110,685.75 and 166,052.63 is: 249,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,685.75 : 166,052.63 = 166,052.63 : x
  2. Step 2: Convert to fraction form
    110,685.75/166,052.63 = 166,052.63/x
  3. Step 3: Cross multiply
    110,685.75x = 166,052.63 × 166,052.63
  4. Step 4: Simplify right side
    110,685.75x = 27,573,474,269.39
  5. Step 5: Solve for x
    x = 27,573,474,269.39/110,685.75
  6. Step 6: Final answer
    x = 249,114.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.