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Finding the Third Proportional to 57,032 and 85,548

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Solution

The third proportional to 57,032 and 85,548 is: 128,322

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,032 : 85,548 = 85,548 : x
  2. Step 2: Convert to fraction form
    57,032/85,548 = 85,548/x
  3. Step 3: Cross multiply
    57,032x = 85,548 × 85,548
  4. Step 4: Simplify right side
    57,032x = 7,318,460,304
  5. Step 5: Solve for x
    x = 7,318,460,304/57,032
  6. Step 6: Final answer
    x = 128,322

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.