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Finding the Third Proportional to 106,278.75 and 165,874.50

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Solution

The third proportional to 106,278.75 and 165,874.50 is: 258,888.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,278.75 : 165,874.50 = 165,874.50 : x
  2. Step 2: Convert to fraction form
    106,278.75/165,874.50 = 165,874.50/x
  3. Step 3: Cross multiply
    106,278.75x = 165,874.50 × 165,874.50
  4. Step 4: Simplify right side
    106,278.75x = 27,514,349,750.25
  5. Step 5: Solve for x
    x = 27,514,349,750.25/106,278.75
  6. Step 6: Final answer
    x = 258,888.53

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.