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Finding the Third Proportional to 34,542 and 91,419.75

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Solution

The third proportional to 34,542 and 91,419.75 is: 241,953.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,542 : 91,419.75 = 91,419.75 : x
  2. Step 2: Convert to fraction form
    34,542/91,419.75 = 91,419.75/x
  3. Step 3: Cross multiply
    34,542x = 91,419.75 × 91,419.75
  4. Step 4: Simplify right side
    34,542x = 8,357,570,690.06
  5. Step 5: Solve for x
    x = 8,357,570,690.06/34,542
  6. Step 6: Final answer
    x = 241,953.87

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.