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Finding the Third Proportional to 75,702.75 and 159,246.75

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Solution

The third proportional to 75,702.75 and 159,246.75 is: 334,988.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,702.75 : 159,246.75 = 159,246.75 : x
  2. Step 2: Convert to fraction form
    75,702.75/159,246.75 = 159,246.75/x
  3. Step 3: Cross multiply
    75,702.75x = 159,246.75 × 159,246.75
  4. Step 4: Simplify right side
    75,702.75x = 25,359,527,385.56
  5. Step 5: Solve for x
    x = 25,359,527,385.56/75,702.75
  6. Step 6: Final answer
    x = 334,988.19

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.