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Finding the Third Proportional to 45,778 and 70,846

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Solution

The third proportional to 45,778 and 70,846 is: 109,641.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,778 : 70,846 = 70,846 : x
  2. Step 2: Convert to fraction form
    45,778/70,846 = 70,846/x
  3. Step 3: Cross multiply
    45,778x = 70,846 × 70,846
  4. Step 4: Simplify right side
    45,778x = 5,019,155,716
  5. Step 5: Solve for x
    x = 5,019,155,716/45,778
  6. Step 6: Final answer
    x = 109,641.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.