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Finding the Third Proportional to 107,934 and 163,410

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Solution

The third proportional to 107,934 and 163,410 is: 247,399.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,934 : 163,410 = 163,410 : x
  2. Step 2: Convert to fraction form
    107,934/163,410 = 163,410/x
  3. Step 3: Cross multiply
    107,934x = 163,410 × 163,410
  4. Step 4: Simplify right side
    107,934x = 26,702,828,100
  5. Step 5: Solve for x
    x = 26,702,828,100/107,934
  6. Step 6: Final answer
    x = 247,399.60

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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.