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Finding the Third Proportional to 57,696 and 87,313

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Solution

The third proportional to 57,696 and 87,313 is: 132,133.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,696 : 87,313 = 87,313 : x
  2. Step 2: Convert to fraction form
    57,696/87,313 = 87,313/x
  3. Step 3: Cross multiply
    57,696x = 87,313 × 87,313
  4. Step 4: Simplify right side
    57,696x = 7,623,559,969
  5. Step 5: Solve for x
    x = 7,623,559,969/57,696
  6. Step 6: Final answer
    x = 132,133.25

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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.