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Finding the Third Proportional to 70,868.25 and 108,742.50

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Solution

The third proportional to 70,868.25 and 108,742.50 is: 166,857.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,868.25 : 108,742.50 = 108,742.50 : x
  2. Step 2: Convert to fraction form
    70,868.25/108,742.50 = 108,742.50/x
  3. Step 3: Cross multiply
    70,868.25x = 108,742.50 × 108,742.50
  4. Step 4: Simplify right side
    70,868.25x = 11,824,931,306.25
  5. Step 5: Solve for x
    x = 11,824,931,306.25/70,868.25
  6. Step 6: Final answer
    x = 166,857.96

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.