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Finding the Third Proportional to 60,800 and 132,561.50

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Solution

The third proportional to 60,800 and 132,561.50 is: 289,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,800 : 132,561.50 = 132,561.50 : x
  2. Step 2: Convert to fraction form
    60,800/132,561.50 = 132,561.50/x
  3. Step 3: Cross multiply
    60,800x = 132,561.50 × 132,561.50
  4. Step 4: Simplify right side
    60,800x = 17,572,551,282.25
  5. Step 5: Solve for x
    x = 17,572,551,282.25/60,800
  6. Step 6: Final answer
    x = 289,022.23

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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.