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Finding the Third Proportional to 107,286 and 162,310.13

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Solution

The third proportional to 107,286 and 162,310.13 is: 245,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,286 : 162,310.13 = 162,310.13 : x
  2. Step 2: Convert to fraction form
    107,286/162,310.13 = 162,310.13/x
  3. Step 3: Cross multiply
    107,286x = 162,310.13 × 162,310.13
  4. Step 4: Simplify right side
    107,286x = 26,344,576,677.52
  5. Step 5: Solve for x
    x = 26,344,576,677.52/107,286
  6. Step 6: Final answer
    x = 245,554.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.