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Finding the Third Proportional to 77,119 and 116,651

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Solution

The third proportional to 77,119 and 116,651 is: 176,447.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,119 : 116,651 = 116,651 : x
  2. Step 2: Convert to fraction form
    77,119/116,651 = 116,651/x
  3. Step 3: Cross multiply
    77,119x = 116,651 × 116,651
  4. Step 4: Simplify right side
    77,119x = 13,607,455,801
  5. Step 5: Solve for x
    x = 13,607,455,801/77,119
  6. Step 6: Final answer
    x = 176,447.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.