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Finding the Third Proportional to 97,914 and 155,799

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Solution

The third proportional to 97,914 and 155,799 is: 247,904.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,914 : 155,799 = 155,799 : x
  2. Step 2: Convert to fraction form
    97,914/155,799 = 155,799/x
  3. Step 3: Cross multiply
    97,914x = 155,799 × 155,799
  4. Step 4: Simplify right side
    97,914x = 24,273,328,401
  5. Step 5: Solve for x
    x = 24,273,328,401/97,914
  6. Step 6: Final answer
    x = 247,904.57

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