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Finding the Third Proportional to 45,208 and 70,564

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Solution

The third proportional to 45,208 and 70,564 is: 110,141.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,208 : 70,564 = 70,564 : x
  2. Step 2: Convert to fraction form
    45,208/70,564 = 70,564/x
  3. Step 3: Cross multiply
    45,208x = 70,564 × 70,564
  4. Step 4: Simplify right side
    45,208x = 4,979,278,096
  5. Step 5: Solve for x
    x = 4,979,278,096/45,208
  6. Step 6: Final answer
    x = 110,141.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.