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Finding the Third Proportional to 77,894 and 116,712

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Solution

The third proportional to 77,894 and 116,712 is: 174,874.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,894 : 116,712 = 116,712 : x
  2. Step 2: Convert to fraction form
    77,894/116,712 = 116,712/x
  3. Step 3: Cross multiply
    77,894x = 116,712 × 116,712
  4. Step 4: Simplify right side
    77,894x = 13,621,690,944
  5. Step 5: Solve for x
    x = 13,621,690,944/77,894
  6. Step 6: Final answer
    x = 174,874.71

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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.