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Finding the Third Proportional to 45,760 and 70,920

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Solution

The third proportional to 45,760 and 70,920 is: 109,913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,760 : 70,920 = 70,920 : x
  2. Step 2: Convert to fraction form
    45,760/70,920 = 70,920/x
  3. Step 3: Cross multiply
    45,760x = 70,920 × 70,920
  4. Step 4: Simplify right side
    45,760x = 5,029,646,400
  5. Step 5: Solve for x
    x = 5,029,646,400/45,760
  6. Step 6: Final answer
    x = 109,913.60

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Why These Related Problems?

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