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Finding the Third Proportional to 57,888 and 87,446.25

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Solution

The third proportional to 57,888 and 87,446.25 is: 132,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,888 : 87,446.25 = 87,446.25 : x
  2. Step 2: Convert to fraction form
    57,888/87,446.25 = 87,446.25/x
  3. Step 3: Cross multiply
    57,888x = 87,446.25 × 87,446.25
  4. Step 4: Simplify right side
    57,888x = 7,646,846,639.06
  5. Step 5: Solve for x
    x = 7,646,846,639.06/57,888
  6. Step 6: Final answer
    x = 132,097.27

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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.