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Finding the Third Proportional to 45,498 and 70,191

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Solution

The third proportional to 45,498 and 70,191 is: 108,285.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,498 : 70,191 = 70,191 : x
  2. Step 2: Convert to fraction form
    45,498/70,191 = 70,191/x
  3. Step 3: Cross multiply
    45,498x = 70,191 × 70,191
  4. Step 4: Simplify right side
    45,498x = 4,926,776,481
  5. Step 5: Solve for x
    x = 4,926,776,481/45,498
  6. Step 6: Final answer
    x = 108,285.56

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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.