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Finding the Third Proportional to 65,560 and 143,755

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Solution

The third proportional to 65,560 and 143,755 is: 315,215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,560 : 143,755 = 143,755 : x
  2. Step 2: Convert to fraction form
    65,560/143,755 = 143,755/x
  3. Step 3: Cross multiply
    65,560x = 143,755 × 143,755
  4. Step 4: Simplify right side
    65,560x = 20,665,500,025
  5. Step 5: Solve for x
    x = 20,665,500,025/65,560
  6. Step 6: Final answer
    x = 315,215.07

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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.