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Finding the Third Proportional to 99,647 and 148,051

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Solution

The third proportional to 99,647 and 148,051 is: 219,967.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,647 : 148,051 = 148,051 : x
  2. Step 2: Convert to fraction form
    99,647/148,051 = 148,051/x
  3. Step 3: Cross multiply
    99,647x = 148,051 × 148,051
  4. Step 4: Simplify right side
    99,647x = 21,919,098,601
  5. Step 5: Solve for x
    x = 21,919,098,601/99,647
  6. Step 6: Final answer
    x = 219,967.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.