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Finding the Third Proportional to 70,503.75 and 110,043.56

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Solution

The third proportional to 70,503.75 and 110,043.56 is: 171,758.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,503.75 : 110,043.56 = 110,043.56 : x
  2. Step 2: Convert to fraction form
    70,503.75/110,043.56 = 110,043.56/x
  3. Step 3: Cross multiply
    70,503.75x = 110,043.56 × 110,043.56
  4. Step 4: Simplify right side
    70,503.75x = 12,109,585,647.69
  5. Step 5: Solve for x
    x = 12,109,585,647.69/70,503.75
  6. Step 6: Final answer
    x = 171,758.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.