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Finding the Third Proportional to 69,859 and 110,666

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Solution

The third proportional to 69,859 and 110,666 is: 175,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,859 : 110,666 = 110,666 : x
  2. Step 2: Convert to fraction form
    69,859/110,666 = 110,666/x
  3. Step 3: Cross multiply
    69,859x = 110,666 × 110,666
  4. Step 4: Simplify right side
    69,859x = 12,246,963,556
  5. Step 5: Solve for x
    x = 12,246,963,556/69,859
  6. Step 6: Final answer
    x = 175,309.75

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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.