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Finding the Third Proportional to 67,320.50 and 141,605

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Solution

The third proportional to 67,320.50 and 141,605 is: 297,858.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,320.50 : 141,605 = 141,605 : x
  2. Step 2: Convert to fraction form
    67,320.50/141,605 = 141,605/x
  3. Step 3: Cross multiply
    67,320.50x = 141,605 × 141,605
  4. Step 4: Simplify right side
    67,320.50x = 20,051,976,025
  5. Step 5: Solve for x
    x = 20,051,976,025/67,320.50
  6. Step 6: Final answer
    x = 297,858.39

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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.