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Finding the Third Proportional to 75,214 and 163,397

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Solution

The third proportional to 75,214 and 163,397 is: 354,968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,214 : 163,397 = 163,397 : x
  2. Step 2: Convert to fraction form
    75,214/163,397 = 163,397/x
  3. Step 3: Cross multiply
    75,214x = 163,397 × 163,397
  4. Step 4: Simplify right side
    75,214x = 26,698,579,609
  5. Step 5: Solve for x
    x = 26,698,579,609/75,214
  6. Step 6: Final answer
    x = 354,968.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.