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Finding the Third Proportional to 107,910 and 163,370

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Solution

The third proportional to 107,910 and 163,370 is: 247,333.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,910 : 163,370 = 163,370 : x
  2. Step 2: Convert to fraction form
    107,910/163,370 = 163,370/x
  3. Step 3: Cross multiply
    107,910x = 163,370 × 163,370
  4. Step 4: Simplify right side
    107,910x = 26,689,756,900
  5. Step 5: Solve for x
    x = 26,689,756,900/107,910
  6. Step 6: Final answer
    x = 247,333.49

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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.