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Finding the Third Proportional to 45,910 and 70,890

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Solution

The third proportional to 45,910 and 70,890 is: 109,461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,910 : 70,890 = 70,890 : x
  2. Step 2: Convert to fraction form
    45,910/70,890 = 70,890/x
  3. Step 3: Cross multiply
    45,910x = 70,890 × 70,890
  4. Step 4: Simplify right side
    45,910x = 5,025,392,100
  5. Step 5: Solve for x
    x = 5,025,392,100/45,910
  6. Step 6: Final answer
    x = 109,461.82

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.