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Finding the Third Proportional to 69,696.70 and 110,775.09

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Solution

The third proportional to 69,696.70 and 110,775.09 is: 176,064.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,696.70 : 110,775.09 = 110,775.09 : x
  2. Step 2: Convert to fraction form
    69,696.70/110,775.09 = 110,775.09/x
  3. Step 3: Cross multiply
    69,696.70x = 110,775.09 × 110,775.09
  4. Step 4: Simplify right side
    69,696.70x = 12,271,121,395.32
  5. Step 5: Solve for x
    x = 12,271,121,395.32/69,696.70
  6. Step 6: Final answer
    x = 176,064.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.