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Finding the Third Proportional to 75,291 and 163,703

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Solution

The third proportional to 75,291 and 163,703 is: 355,934.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,291 : 163,703 = 163,703 : x
  2. Step 2: Convert to fraction form
    75,291/163,703 = 163,703/x
  3. Step 3: Cross multiply
    75,291x = 163,703 × 163,703
  4. Step 4: Simplify right side
    75,291x = 26,798,672,209
  5. Step 5: Solve for x
    x = 26,798,672,209/75,291
  6. Step 6: Final answer
    x = 355,934.60

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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.