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Finding the Third Proportional to 106,494.75 and 148,078.13

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Solution

The third proportional to 106,494.75 and 148,078.13 is: 205,898.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,494.75 : 148,078.13 = 148,078.13 : x
  2. Step 2: Convert to fraction form
    106,494.75/148,078.13 = 148,078.13/x
  3. Step 3: Cross multiply
    106,494.75x = 148,078.13 × 148,078.13
  4. Step 4: Simplify right side
    106,494.75x = 21,927,131,103.52
  5. Step 5: Solve for x
    x = 21,927,131,103.52/106,494.75
  6. Step 6: Final answer
    x = 205,898.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.