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Finding the Third Proportional to 85,598 and 133,578

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Solution

The third proportional to 85,598 and 133,578 is: 208,452.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,598 : 133,578 = 133,578 : x
  2. Step 2: Convert to fraction form
    85,598/133,578 = 133,578/x
  3. Step 3: Cross multiply
    85,598x = 133,578 × 133,578
  4. Step 4: Simplify right side
    85,598x = 17,843,082,084
  5. Step 5: Solve for x
    x = 17,843,082,084/85,598
  6. Step 6: Final answer
    x = 208,452.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.