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Finding the Third Proportional to 75,385 and 156,972

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Solution

The third proportional to 75,385 and 156,972 is: 326,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,385 : 156,972 = 156,972 : x
  2. Step 2: Convert to fraction form
    75,385/156,972 = 156,972/x
  3. Step 3: Cross multiply
    75,385x = 156,972 × 156,972
  4. Step 4: Simplify right side
    75,385x = 24,640,208,784
  5. Step 5: Solve for x
    x = 24,640,208,784/75,385
  6. Step 6: Final answer
    x = 326,858.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.