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Finding the Third Proportional to 75,964 and 163,614

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Solution

The third proportional to 75,964 and 163,614 is: 352,397.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,964 : 163,614 = 163,614 : x
  2. Step 2: Convert to fraction form
    75,964/163,614 = 163,614/x
  3. Step 3: Cross multiply
    75,964x = 163,614 × 163,614
  4. Step 4: Simplify right side
    75,964x = 26,769,540,996
  5. Step 5: Solve for x
    x = 26,769,540,996/75,964
  6. Step 6: Final answer
    x = 352,397.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.