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Finding the Third Proportional to 95,537 and 202,453

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Solution

The third proportional to 95,537 and 202,453 is: 429,019.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,537 : 202,453 = 202,453 : x
  2. Step 2: Convert to fraction form
    95,537/202,453 = 202,453/x
  3. Step 3: Cross multiply
    95,537x = 202,453 × 202,453
  4. Step 4: Simplify right side
    95,537x = 40,987,217,209
  5. Step 5: Solve for x
    x = 40,987,217,209/95,537
  6. Step 6: Final answer
    x = 429,019.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.