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Finding the Third Proportional to 75,008 and 156,946

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Solution

The third proportional to 75,008 and 156,946 is: 328,392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,008 : 156,946 = 156,946 : x
  2. Step 2: Convert to fraction form
    75,008/156,946 = 156,946/x
  3. Step 3: Cross multiply
    75,008x = 156,946 × 156,946
  4. Step 4: Simplify right side
    75,008x = 24,632,046,916
  5. Step 5: Solve for x
    x = 24,632,046,916/75,008
  6. Step 6: Final answer
    x = 328,392.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.