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Finding the Third Proportional to 97,792.50 and 155,439

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Solution

The third proportional to 97,792.50 and 155,439 is: 247,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,792.50 : 155,439 = 155,439 : x
  2. Step 2: Convert to fraction form
    97,792.50/155,439 = 155,439/x
  3. Step 3: Cross multiply
    97,792.50x = 155,439 × 155,439
  4. Step 4: Simplify right side
    97,792.50x = 24,161,282,721
  5. Step 5: Solve for x
    x = 24,161,282,721/97,792.50
  6. Step 6: Final answer
    x = 247,066.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.