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Finding the Third Proportional to 65,514.38 and 98,811.56

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Solution

The third proportional to 65,514.38 and 98,811.56 is: 149,031.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,514.38 : 98,811.56 = 98,811.56 : x
  2. Step 2: Convert to fraction form
    65,514.38/98,811.56 = 98,811.56/x
  3. Step 3: Cross multiply
    65,514.38x = 98,811.56 × 98,811.56
  4. Step 4: Simplify right side
    65,514.38x = 9,763,724,883.69
  5. Step 5: Solve for x
    x = 9,763,724,883.69/65,514.38
  6. Step 6: Final answer
    x = 149,031.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.