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Finding the Third Proportional to 113,769.56 and 170,654.34

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Solution

The third proportional to 113,769.56 and 170,654.34 is: 255,981.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,769.56 : 170,654.34 = 170,654.34 : x
  2. Step 2: Convert to fraction form
    113,769.56/170,654.34 = 170,654.34/x
  3. Step 3: Cross multiply
    113,769.56x = 170,654.34 × 170,654.34
  4. Step 4: Simplify right side
    113,769.56x = 29,122,905,040.74
  5. Step 5: Solve for x
    x = 29,122,905,040.74/113,769.56
  6. Step 6: Final answer
    x = 255,981.52

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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.