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Finding the Third Proportional to 107,456 and 163,552

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Solution

The third proportional to 107,456 and 163,552 is: 248,932.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,456 : 163,552 = 163,552 : x
  2. Step 2: Convert to fraction form
    107,456/163,552 = 163,552/x
  3. Step 3: Cross multiply
    107,456x = 163,552 × 163,552
  4. Step 4: Simplify right side
    107,456x = 26,749,256,704
  5. Step 5: Solve for x
    x = 26,749,256,704/107,456
  6. Step 6: Final answer
    x = 248,932.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.