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Finding the Third Proportional to 73,718 and 113,853

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Solution

The third proportional to 73,718 and 113,853 is: 175,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,718 : 113,853 = 113,853 : x
  2. Step 2: Convert to fraction form
    73,718/113,853 = 113,853/x
  3. Step 3: Cross multiply
    73,718x = 113,853 × 113,853
  4. Step 4: Simplify right side
    73,718x = 12,962,505,609
  5. Step 5: Solve for x
    x = 12,962,505,609/73,718
  6. Step 6: Final answer
    x = 175,839.08

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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.