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Finding the Third Proportional to 57,462 and 88,302

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Solution

The third proportional to 57,462 and 88,302 is: 135,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,462 : 88,302 = 88,302 : x
  2. Step 2: Convert to fraction form
    57,462/88,302 = 88,302/x
  3. Step 3: Cross multiply
    57,462x = 88,302 × 88,302
  4. Step 4: Simplify right side
    57,462x = 7,797,243,204
  5. Step 5: Solve for x
    x = 7,797,243,204/57,462
  6. Step 6: Final answer
    x = 135,693.91

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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.