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Finding the Third Proportional to 57,431 and 88,253

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Solution

The third proportional to 57,431 and 88,253 is: 135,616.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,431 : 88,253 = 88,253 : x
  2. Step 2: Convert to fraction form
    57,431/88,253 = 88,253/x
  3. Step 3: Cross multiply
    57,431x = 88,253 × 88,253
  4. Step 4: Simplify right side
    57,431x = 7,788,592,009
  5. Step 5: Solve for x
    x = 7,788,592,009/57,431
  6. Step 6: Final answer
    x = 135,616.51

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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.