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Finding the Third Proportional to 45,054 and 70,676

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Solution

The third proportional to 45,054 and 70,676 is: 110,869.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,054 : 70,676 = 70,676 : x
  2. Step 2: Convert to fraction form
    45,054/70,676 = 70,676/x
  3. Step 3: Cross multiply
    45,054x = 70,676 × 70,676
  4. Step 4: Simplify right side
    45,054x = 4,995,096,976
  5. Step 5: Solve for x
    x = 4,995,096,976/45,054
  6. Step 6: Final answer
    x = 110,869.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.