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Finding the Third Proportional to 106,926.75 and 168,179.63

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Solution

The third proportional to 106,926.75 and 168,179.63 is: 264,521.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,926.75 : 168,179.63 = 168,179.63 : x
  2. Step 2: Convert to fraction form
    106,926.75/168,179.63 = 168,179.63/x
  3. Step 3: Cross multiply
    106,926.75x = 168,179.63 × 168,179.63
  4. Step 4: Simplify right side
    106,926.75x = 28,284,386,265.14
  5. Step 5: Solve for x
    x = 28,284,386,265.14/106,926.75
  6. Step 6: Final answer
    x = 264,521.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.