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Finding the Third Proportional to 67,810.50 and 141,817.50

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Solution

The third proportional to 67,810.50 and 141,817.50 is: 296,594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,810.50 : 141,817.50 = 141,817.50 : x
  2. Step 2: Convert to fraction form
    67,810.50/141,817.50 = 141,817.50/x
  3. Step 3: Cross multiply
    67,810.50x = 141,817.50 × 141,817.50
  4. Step 4: Simplify right side
    67,810.50x = 20,112,203,306.25
  5. Step 5: Solve for x
    x = 20,112,203,306.25/67,810.50
  6. Step 6: Final answer
    x = 296,594.23

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.