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Finding the Third Proportional to 110,881.41 and 169,648.17

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Solution

The third proportional to 110,881.41 and 169,648.17 is: 259,561.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,881.41 : 169,648.17 = 169,648.17 : x
  2. Step 2: Convert to fraction form
    110,881.41/169,648.17 = 169,648.17/x
  3. Step 3: Cross multiply
    110,881.41x = 169,648.17 × 169,648.17
  4. Step 4: Simplify right side
    110,881.41x = 28,780,502,220.53
  5. Step 5: Solve for x
    x = 28,780,502,220.53/110,881.41
  6. Step 6: Final answer
    x = 259,561.12

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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.