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Finding the Third Proportional to 107,295 and 165,874.50

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Solution

The third proportional to 107,295 and 165,874.50 is: 256,436.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,295 : 165,874.50 = 165,874.50 : x
  2. Step 2: Convert to fraction form
    107,295/165,874.50 = 165,874.50/x
  3. Step 3: Cross multiply
    107,295x = 165,874.50 × 165,874.50
  4. Step 4: Simplify right side
    107,295x = 27,514,349,750.25
  5. Step 5: Solve for x
    x = 27,514,349,750.25/107,295
  6. Step 6: Final answer
    x = 256,436.46

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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.