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Finding the Third Proportional to 65,827.69 and 141,799.36

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Solution

The third proportional to 65,827.69 and 141,799.36 is: 305,449.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,827.69 : 141,799.36 = 141,799.36 : x
  2. Step 2: Convert to fraction form
    65,827.69/141,799.36 = 141,799.36/x
  3. Step 3: Cross multiply
    65,827.69x = 141,799.36 × 141,799.36
  4. Step 4: Simplify right side
    65,827.69x = 20,107,058,319.16
  5. Step 5: Solve for x
    x = 20,107,058,319.16/65,827.69
  6. Step 6: Final answer
    x = 305,449.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.