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Finding the Third Proportional to 70,073 and 108,794.50

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Solution

The third proportional to 70,073 and 108,794.50 is: 168,913.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,073 : 108,794.50 = 108,794.50 : x
  2. Step 2: Convert to fraction form
    70,073/108,794.50 = 108,794.50/x
  3. Step 3: Cross multiply
    70,073x = 108,794.50 × 108,794.50
  4. Step 4: Simplify right side
    70,073x = 11,836,243,230.25
  5. Step 5: Solve for x
    x = 11,836,243,230.25/70,073
  6. Step 6: Final answer
    x = 168,913.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.