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Finding the Third Proportional to 105,330.80 and 149,039.86

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Solution

The third proportional to 105,330.80 and 149,039.86 is: 210,886.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,330.80 : 149,039.86 = 149,039.86 : x
  2. Step 2: Convert to fraction form
    105,330.80/149,039.86 = 149,039.86/x
  3. Step 3: Cross multiply
    105,330.80x = 149,039.86 × 149,039.86
  4. Step 4: Simplify right side
    105,330.80x = 22,212,879,682.52
  5. Step 5: Solve for x
    x = 22,212,879,682.52/105,330.80
  6. Step 6: Final answer
    x = 210,886.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.