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Finding the Third Proportional to 70,780 and 103,248

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Solution

The third proportional to 70,780 and 103,248 is: 150,609.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,780 : 103,248 = 103,248 : x
  2. Step 2: Convert to fraction form
    70,780/103,248 = 103,248/x
  3. Step 3: Cross multiply
    70,780x = 103,248 × 103,248
  4. Step 4: Simplify right side
    70,780x = 10,660,149,504
  5. Step 5: Solve for x
    x = 10,660,149,504/70,780
  6. Step 6: Final answer
    x = 150,609.63

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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.