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Finding the Third Proportional to 45,926 and 70,206

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Solution

The third proportional to 45,926 and 70,206 is: 107,322.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,926 : 70,206 = 70,206 : x
  2. Step 2: Convert to fraction form
    45,926/70,206 = 70,206/x
  3. Step 3: Cross multiply
    45,926x = 70,206 × 70,206
  4. Step 4: Simplify right side
    45,926x = 4,928,882,436
  5. Step 5: Solve for x
    x = 4,928,882,436/45,926
  6. Step 6: Final answer
    x = 107,322.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.