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Finding the Third Proportional to 107,897 and 163,345

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Solution

The third proportional to 107,897 and 163,345 is: 247,287.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,897 : 163,345 = 163,345 : x
  2. Step 2: Convert to fraction form
    107,897/163,345 = 163,345/x
  3. Step 3: Cross multiply
    107,897x = 163,345 × 163,345
  4. Step 4: Simplify right side
    107,897x = 26,681,589,025
  5. Step 5: Solve for x
    x = 26,681,589,025/107,897
  6. Step 6: Final answer
    x = 247,287.59

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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.