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Finding the Third Proportional to 65,718 and 100,203.75

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Solution

The third proportional to 65,718 and 100,203.75 is: 152,786.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,718 : 100,203.75 = 100,203.75 : x
  2. Step 2: Convert to fraction form
    65,718/100,203.75 = 100,203.75/x
  3. Step 3: Cross multiply
    65,718x = 100,203.75 × 100,203.75
  4. Step 4: Simplify right side
    65,718x = 10,040,791,514.06
  5. Step 5: Solve for x
    x = 10,040,791,514.06/65,718
  6. Step 6: Final answer
    x = 152,786.02

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.