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Finding the Third Proportional to 73,464 and 109,116

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Solution

The third proportional to 73,464 and 109,116 is: 162,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,464 : 109,116 = 109,116 : x
  2. Step 2: Convert to fraction form
    73,464/109,116 = 109,116/x
  3. Step 3: Cross multiply
    73,464x = 109,116 × 109,116
  4. Step 4: Simplify right side
    73,464x = 11,906,301,456
  5. Step 5: Solve for x
    x = 11,906,301,456/73,464
  6. Step 6: Final answer
    x = 162,069.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.