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Finding the Third Proportional to 138,082 and 202,592

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Solution

The third proportional to 138,082 and 202,592 is: 297,240.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,082 : 202,592 = 202,592 : x
  2. Step 2: Convert to fraction form
    138,082/202,592 = 202,592/x
  3. Step 3: Cross multiply
    138,082x = 202,592 × 202,592
  4. Step 4: Simplify right side
    138,082x = 41,043,518,464
  5. Step 5: Solve for x
    x = 41,043,518,464/138,082
  6. Step 6: Final answer
    x = 297,240.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.