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Finding the Third Proportional to 99,006 and 131,283

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Solution

The third proportional to 99,006 and 131,283 is: 174,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,006 : 131,283 = 131,283 : x
  2. Step 2: Convert to fraction form
    99,006/131,283 = 131,283/x
  3. Step 3: Cross multiply
    99,006x = 131,283 × 131,283
  4. Step 4: Simplify right side
    99,006x = 17,235,226,089
  5. Step 5: Solve for x
    x = 17,235,226,089/99,006
  6. Step 6: Final answer
    x = 174,082.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.