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Finding the Third Proportional to 70,778.25 and 103,248

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Solution

The third proportional to 70,778.25 and 103,248 is: 150,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,778.25 : 103,248 = 103,248 : x
  2. Step 2: Convert to fraction form
    70,778.25/103,248 = 103,248/x
  3. Step 3: Cross multiply
    70,778.25x = 103,248 × 103,248
  4. Step 4: Simplify right side
    70,778.25x = 10,660,149,504
  5. Step 5: Solve for x
    x = 10,660,149,504/70,778.25
  6. Step 6: Final answer
    x = 150,613.35

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.