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Finding the Third Proportional to 57,145.50 and 89,358.75

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Solution

The third proportional to 57,145.50 and 89,358.75 is: 139,730.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,145.50 : 89,358.75 = 89,358.75 : x
  2. Step 2: Convert to fraction form
    57,145.50/89,358.75 = 89,358.75/x
  3. Step 3: Cross multiply
    57,145.50x = 89,358.75 × 89,358.75
  4. Step 4: Simplify right side
    57,145.50x = 7,984,986,201.56
  5. Step 5: Solve for x
    x = 7,984,986,201.56/57,145.50
  6. Step 6: Final answer
    x = 139,730.80

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.