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Finding the Third Proportional to 106,707.38 and 150,128.44

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Solution

The third proportional to 106,707.38 and 150,128.44 is: 211,218.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,707.38 : 150,128.44 = 150,128.44 : x
  2. Step 2: Convert to fraction form
    106,707.38/150,128.44 = 150,128.44/x
  3. Step 3: Cross multiply
    106,707.38x = 150,128.44 × 150,128.44
  4. Step 4: Simplify right side
    106,707.38x = 22,538,547,746.19
  5. Step 5: Solve for x
    x = 22,538,547,746.19/106,707.38
  6. Step 6: Final answer
    x = 211,218.28

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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.