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Finding the Third Proportional to 69,859.13 and 110,696.63

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Solution

The third proportional to 69,859.13 and 110,696.63 is: 175,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,859.13 : 110,696.63 = 110,696.63 : x
  2. Step 2: Convert to fraction form
    69,859.13/110,696.63 = 110,696.63/x
  3. Step 3: Cross multiply
    69,859.13x = 110,696.63 × 110,696.63
  4. Step 4: Simplify right side
    69,859.13x = 12,253,742,786.39
  5. Step 5: Solve for x
    x = 12,253,742,786.39/69,859.13
  6. Step 6: Final answer
    x = 175,406.47

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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.