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Finding the Third Proportional to 57,344 and 88,570

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Solution

The third proportional to 57,344 and 88,570 is: 136,799.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,344 : 88,570 = 88,570 : x
  2. Step 2: Convert to fraction form
    57,344/88,570 = 88,570/x
  3. Step 3: Cross multiply
    57,344x = 88,570 × 88,570
  4. Step 4: Simplify right side
    57,344x = 7,844,644,900
  5. Step 5: Solve for x
    x = 7,844,644,900/57,344
  6. Step 6: Final answer
    x = 136,799.75

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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.