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Finding the Third Proportional to 82,635.19 and 125,691.75

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Solution

The third proportional to 82,635.19 and 125,691.75 is: 191,182.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,635.19 : 125,691.75 = 125,691.75 : x
  2. Step 2: Convert to fraction form
    82,635.19/125,691.75 = 125,691.75/x
  3. Step 3: Cross multiply
    82,635.19x = 125,691.75 × 125,691.75
  4. Step 4: Simplify right side
    82,635.19x = 15,798,416,018.06
  5. Step 5: Solve for x
    x = 15,798,416,018.06/82,635.19
  6. Step 6: Final answer
    x = 191,182.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.