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Finding the Third Proportional to 57,324 and 88,578

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Solution

The third proportional to 57,324 and 88,578 is: 136,872.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,324 : 88,578 = 88,578 : x
  2. Step 2: Convert to fraction form
    57,324/88,578 = 88,578/x
  3. Step 3: Cross multiply
    57,324x = 88,578 × 88,578
  4. Step 4: Simplify right side
    57,324x = 7,846,062,084
  5. Step 5: Solve for x
    x = 7,846,062,084/57,324
  6. Step 6: Final answer
    x = 136,872.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.