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Finding the Third Proportional to 109,755 and 169,191

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Solution

The third proportional to 109,755 and 169,191 is: 260,813.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,755 : 169,191 = 169,191 : x
  2. Step 2: Convert to fraction form
    109,755/169,191 = 169,191/x
  3. Step 3: Cross multiply
    109,755x = 169,191 × 169,191
  4. Step 4: Simplify right side
    109,755x = 28,625,594,481
  5. Step 5: Solve for x
    x = 28,625,594,481/109,755
  6. Step 6: Final answer
    x = 260,813.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.