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Finding the Third Proportional to 57,384 and 88,640

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Solution

The third proportional to 57,384 and 88,640 is: 136,920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,384 : 88,640 = 88,640 : x
  2. Step 2: Convert to fraction form
    57,384/88,640 = 88,640/x
  3. Step 3: Cross multiply
    57,384x = 88,640 × 88,640
  4. Step 4: Simplify right side
    57,384x = 7,857,049,600
  5. Step 5: Solve for x
    x = 7,857,049,600/57,384
  6. Step 6: Final answer
    x = 136,920.56

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.