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Finding the Third Proportional to 106,552.13 and 165,430.69

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Solution

The third proportional to 106,552.13 and 165,430.69 is: 256,844.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,552.13 : 165,430.69 = 165,430.69 : x
  2. Step 2: Convert to fraction form
    106,552.13/165,430.69 = 165,430.69/x
  3. Step 3: Cross multiply
    106,552.13x = 165,430.69 × 165,430.69
  4. Step 4: Simplify right side
    106,552.13x = 27,367,312,366.72
  5. Step 5: Solve for x
    x = 27,367,312,366.72/106,552.13
  6. Step 6: Final answer
    x = 256,844.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.