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Finding the Third Proportional to 77,498 and 119,751

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Solution

The third proportional to 77,498 and 119,751 is: 185,040.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,498 : 119,751 = 119,751 : x
  2. Step 2: Convert to fraction form
    77,498/119,751 = 119,751/x
  3. Step 3: Cross multiply
    77,498x = 119,751 × 119,751
  4. Step 4: Simplify right side
    77,498x = 14,340,302,001
  5. Step 5: Solve for x
    x = 14,340,302,001/77,498
  6. Step 6: Final answer
    x = 185,040.93

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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.