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Finding the Third Proportional to 77,894 and 116,708

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Solution

The third proportional to 77,894 and 116,708 is: 174,862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,894 : 116,708 = 116,708 : x
  2. Step 2: Convert to fraction form
    77,894/116,708 = 116,708/x
  3. Step 3: Cross multiply
    77,894x = 116,708 × 116,708
  4. Step 4: Simplify right side
    77,894x = 13,620,757,264
  5. Step 5: Solve for x
    x = 13,620,757,264/77,894
  6. Step 6: Final answer
    x = 174,862.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.