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Finding the Third Proportional to 45,202 and 69,147

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Solution

The third proportional to 45,202 and 69,147 is: 105,776.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,202 : 69,147 = 69,147 : x
  2. Step 2: Convert to fraction form
    45,202/69,147 = 69,147/x
  3. Step 3: Cross multiply
    45,202x = 69,147 × 69,147
  4. Step 4: Simplify right side
    45,202x = 4,781,307,609
  5. Step 5: Solve for x
    x = 4,781,307,609/45,202
  6. Step 6: Final answer
    x = 105,776.46

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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.