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Finding the Third Proportional to 57,816 and 87,180

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Solution

The third proportional to 57,816 and 87,180 is: 131,457.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,816 : 87,180 = 87,180 : x
  2. Step 2: Convert to fraction form
    57,816/87,180 = 87,180/x
  3. Step 3: Cross multiply
    57,816x = 87,180 × 87,180
  4. Step 4: Simplify right side
    57,816x = 7,600,352,400
  5. Step 5: Solve for x
    x = 7,600,352,400/57,816
  6. Step 6: Final answer
    x = 131,457.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.