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Finding the Third Proportional to 67,884 and 99,792.75

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Solution

The third proportional to 67,884 and 99,792.75 is: 146,700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,884 : 99,792.75 = 99,792.75 : x
  2. Step 2: Convert to fraction form
    67,884/99,792.75 = 99,792.75/x
  3. Step 3: Cross multiply
    67,884x = 99,792.75 × 99,792.75
  4. Step 4: Simplify right side
    67,884x = 9,958,592,952.56
  5. Step 5: Solve for x
    x = 9,958,592,952.56/67,884
  6. Step 6: Final answer
    x = 146,700.15

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.