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Finding the Third Proportional to 107,186 and 163,275

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Solution

The third proportional to 107,186 and 163,275 is: 248,714.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,186 : 163,275 = 163,275 : x
  2. Step 2: Convert to fraction form
    107,186/163,275 = 163,275/x
  3. Step 3: Cross multiply
    107,186x = 163,275 × 163,275
  4. Step 4: Simplify right side
    107,186x = 26,658,725,625
  5. Step 5: Solve for x
    x = 26,658,725,625/107,186
  6. Step 6: Final answer
    x = 248,714.62

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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.