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Finding the Third Proportional to 105,194.25 and 147,963.38

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Solution

The third proportional to 105,194.25 and 147,963.38 is: 208,121.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,194.25 : 147,963.38 = 147,963.38 : x
  2. Step 2: Convert to fraction form
    105,194.25/147,963.38 = 147,963.38/x
  3. Step 3: Cross multiply
    105,194.25x = 147,963.38 × 147,963.38
  4. Step 4: Simplify right side
    105,194.25x = 21,893,160,341.39
  5. Step 5: Solve for x
    x = 21,893,160,341.39/105,194.25
  6. Step 6: Final answer
    x = 208,121.26

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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.