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Finding the Third Proportional to 57,489 and 85,880.50

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Solution

The third proportional to 57,489 and 85,880.50 is: 128,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,489 : 85,880.50 = 85,880.50 : x
  2. Step 2: Convert to fraction form
    57,489/85,880.50 = 85,880.50/x
  3. Step 3: Cross multiply
    57,489x = 85,880.50 × 85,880.50
  4. Step 4: Simplify right side
    57,489x = 7,375,460,280.25
  5. Step 5: Solve for x
    x = 7,375,460,280.25/57,489
  6. Step 6: Final answer
    x = 128,293.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.