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Finding the Third Proportional to 65,895 and 143,721

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Solution

The third proportional to 65,895 and 143,721 is: 313,464.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,895 : 143,721 = 143,721 : x
  2. Step 2: Convert to fraction form
    65,895/143,721 = 143,721/x
  3. Step 3: Cross multiply
    65,895x = 143,721 × 143,721
  4. Step 4: Simplify right side
    65,895x = 20,655,725,841
  5. Step 5: Solve for x
    x = 20,655,725,841/65,895
  6. Step 6: Final answer
    x = 313,464.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.