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Finding the Third Proportional to 45,508 and 70,206

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Solution

The third proportional to 45,508 and 70,206 is: 108,308.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,508 : 70,206 = 70,206 : x
  2. Step 2: Convert to fraction form
    45,508/70,206 = 70,206/x
  3. Step 3: Cross multiply
    45,508x = 70,206 × 70,206
  4. Step 4: Simplify right side
    45,508x = 4,928,882,436
  5. Step 5: Solve for x
    x = 4,928,882,436/45,508
  6. Step 6: Final answer
    x = 108,308.04

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Why These Related Problems?

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