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Finding the Third Proportional to 57,574.50 and 88,821

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Solution

The third proportional to 57,574.50 and 88,821 is: 137,025.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,574.50 : 88,821 = 88,821 : x
  2. Step 2: Convert to fraction form
    57,574.50/88,821 = 88,821/x
  3. Step 3: Cross multiply
    57,574.50x = 88,821 × 88,821
  4. Step 4: Simplify right side
    57,574.50x = 7,889,170,041
  5. Step 5: Solve for x
    x = 7,889,170,041/57,574.50
  6. Step 6: Final answer
    x = 137,025.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.