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Finding the Third Proportional to 91,170.56 and 142,291.69

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Solution

The third proportional to 91,170.56 and 142,291.69 is: 222,077.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,170.56 : 142,291.69 = 142,291.69 : x
  2. Step 2: Convert to fraction form
    91,170.56/142,291.69 = 142,291.69/x
  3. Step 3: Cross multiply
    91,170.56x = 142,291.69 × 142,291.69
  4. Step 4: Simplify right side
    91,170.56x = 20,246,924,331.60
  5. Step 5: Solve for x
    x = 20,246,924,331.60/91,170.56
  6. Step 6: Final answer
    x = 222,077.43

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.