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Finding the Third Proportional to 65,646.75 and 144,005.25

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Solution

The third proportional to 65,646.75 and 144,005.25 is: 315,895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,646.75 : 144,005.25 = 144,005.25 : x
  2. Step 2: Convert to fraction form
    65,646.75/144,005.25 = 144,005.25/x
  3. Step 3: Cross multiply
    65,646.75x = 144,005.25 × 144,005.25
  4. Step 4: Simplify right side
    65,646.75x = 20,737,512,027.56
  5. Step 5: Solve for x
    x = 20,737,512,027.56/65,646.75
  6. Step 6: Final answer
    x = 315,895.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.