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Finding the Third Proportional to 106,935.19 and 149,500.69

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Solution

The third proportional to 106,935.19 and 149,500.69 is: 209,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,935.19 : 149,500.69 = 149,500.69 : x
  2. Step 2: Convert to fraction form
    106,935.19/149,500.69 = 149,500.69/x
  3. Step 3: Cross multiply
    106,935.19x = 149,500.69 × 149,500.69
  4. Step 4: Simplify right side
    106,935.19x = 22,350,455,562.97
  5. Step 5: Solve for x
    x = 22,350,455,562.97/106,935.19
  6. Step 6: Final answer
    x = 209,009.36

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.