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Finding the Third Proportional to 90,537 and 133,031

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Solution

The third proportional to 90,537 and 133,031 is: 195,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,537 : 133,031 = 133,031 : x
  2. Step 2: Convert to fraction form
    90,537/133,031 = 133,031/x
  3. Step 3: Cross multiply
    90,537x = 133,031 × 133,031
  4. Step 4: Simplify right side
    90,537x = 17,697,246,961
  5. Step 5: Solve for x
    x = 17,697,246,961/90,537
  6. Step 6: Final answer
    x = 195,469.77

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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.