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Finding the Third Proportional to 69,930 and 110,786

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Solution

The third proportional to 69,930 and 110,786 is: 175,511.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,930 : 110,786 = 110,786 : x
  2. Step 2: Convert to fraction form
    69,930/110,786 = 110,786/x
  3. Step 3: Cross multiply
    69,930x = 110,786 × 110,786
  4. Step 4: Simplify right side
    69,930x = 12,273,537,796
  5. Step 5: Solve for x
    x = 12,273,537,796/69,930
  6. Step 6: Final answer
    x = 175,511.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.