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Finding the Third Proportional to 94,464 and 144,672

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Solution

The third proportional to 94,464 and 144,672 is: 221,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,464 : 144,672 = 144,672 : x
  2. Step 2: Convert to fraction form
    94,464/144,672 = 144,672/x
  3. Step 3: Cross multiply
    94,464x = 144,672 × 144,672
  4. Step 4: Simplify right side
    94,464x = 20,929,987,584
  5. Step 5: Solve for x
    x = 20,929,987,584/94,464
  6. Step 6: Final answer
    x = 221,565.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.