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Finding the Third Proportional to 57,538 and 88,313

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Solution

The third proportional to 57,538 and 88,313 is: 135,548.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,538 : 88,313 = 88,313 : x
  2. Step 2: Convert to fraction form
    57,538/88,313 = 88,313/x
  3. Step 3: Cross multiply
    57,538x = 88,313 × 88,313
  4. Step 4: Simplify right side
    57,538x = 7,799,185,969
  5. Step 5: Solve for x
    x = 7,799,185,969/57,538
  6. Step 6: Final answer
    x = 135,548.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.