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Finding the Third Proportional to 60,561 and 143,626.50

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Solution

The third proportional to 60,561 and 143,626.50 is: 340,624.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,561 : 143,626.50 = 143,626.50 : x
  2. Step 2: Convert to fraction form
    60,561/143,626.50 = 143,626.50/x
  3. Step 3: Cross multiply
    60,561x = 143,626.50 × 143,626.50
  4. Step 4: Simplify right side
    60,561x = 20,628,571,502.25
  5. Step 5: Solve for x
    x = 20,628,571,502.25/60,561
  6. Step 6: Final answer
    x = 340,624.68

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.