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Finding the Third Proportional to 57,545 and 88,322

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Solution

The third proportional to 57,545 and 88,322 is: 135,559.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,545 : 88,322 = 88,322 : x
  2. Step 2: Convert to fraction form
    57,545/88,322 = 88,322/x
  3. Step 3: Cross multiply
    57,545x = 88,322 × 88,322
  4. Step 4: Simplify right side
    57,545x = 7,800,775,684
  5. Step 5: Solve for x
    x = 7,800,775,684/57,545
  6. Step 6: Final answer
    x = 135,559.57

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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.