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Finding the Third Proportional to 69,873 and 110,716.50

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Solution

The third proportional to 69,873 and 110,716.50 is: 175,434.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,873 : 110,716.50 = 110,716.50 : x
  2. Step 2: Convert to fraction form
    69,873/110,716.50 = 110,716.50/x
  3. Step 3: Cross multiply
    69,873x = 110,716.50 × 110,716.50
  4. Step 4: Simplify right side
    69,873x = 12,258,143,372.25
  5. Step 5: Solve for x
    x = 12,258,143,372.25/69,873
  6. Step 6: Final answer
    x = 175,434.62

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.