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Finding the Third Proportional to 105,472.13 and 140,894.44

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Solution

The third proportional to 105,472.13 and 140,894.44 is: 188,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,472.13 : 140,894.44 = 140,894.44 : x
  2. Step 2: Convert to fraction form
    105,472.13/140,894.44 = 140,894.44/x
  3. Step 3: Cross multiply
    105,472.13x = 140,894.44 × 140,894.44
  4. Step 4: Simplify right side
    105,472.13x = 19,851,242,518.44
  5. Step 5: Solve for x
    x = 19,851,242,518.44/105,472.13
  6. Step 6: Final answer
    x = 188,213.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.