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Finding the Third Proportional to 77,498 and 119,163

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Solution

The third proportional to 77,498 and 119,163 is: 183,228.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,498 : 119,163 = 119,163 : x
  2. Step 2: Convert to fraction form
    77,498/119,163 = 119,163/x
  3. Step 3: Cross multiply
    77,498x = 119,163 × 119,163
  4. Step 4: Simplify right side
    77,498x = 14,199,820,569
  5. Step 5: Solve for x
    x = 14,199,820,569/77,498
  6. Step 6: Final answer
    x = 183,228.22

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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.