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Finding the Third Proportional to 65,559 and 143,727

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Solution

The third proportional to 65,559 and 143,727 is: 315,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,559 : 143,727 = 143,727 : x
  2. Step 2: Convert to fraction form
    65,559/143,727 = 143,727/x
  3. Step 3: Cross multiply
    65,559x = 143,727 × 143,727
  4. Step 4: Simplify right side
    65,559x = 20,657,450,529
  5. Step 5: Solve for x
    x = 20,657,450,529/65,559
  6. Step 6: Final answer
    x = 315,097.10

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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.