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Finding the Third Proportional to 73,998 and 110,560.50

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Solution

The third proportional to 73,998 and 110,560.50 is: 165,188.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,998 : 110,560.50 = 110,560.50 : x
  2. Step 2: Convert to fraction form
    73,998/110,560.50 = 110,560.50/x
  3. Step 3: Cross multiply
    73,998x = 110,560.50 × 110,560.50
  4. Step 4: Simplify right side
    73,998x = 12,223,624,160.25
  5. Step 5: Solve for x
    x = 12,223,624,160.25/73,998
  6. Step 6: Final answer
    x = 165,188.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.