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Finding the Third Proportional to 73,894 and 114,653

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Solution

The third proportional to 73,894 and 114,653 is: 177,894.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,894 : 114,653 = 114,653 : x
  2. Step 2: Convert to fraction form
    73,894/114,653 = 114,653/x
  3. Step 3: Cross multiply
    73,894x = 114,653 × 114,653
  4. Step 4: Simplify right side
    73,894x = 13,145,310,409
  5. Step 5: Solve for x
    x = 13,145,310,409/73,894
  6. Step 6: Final answer
    x = 177,894.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.