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Finding the Third Proportional to 99,126 and 148,256

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Solution

The third proportional to 99,126 and 148,256 is: 221,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,126 : 148,256 = 148,256 : x
  2. Step 2: Convert to fraction form
    99,126/148,256 = 148,256/x
  3. Step 3: Cross multiply
    99,126x = 148,256 × 148,256
  4. Step 4: Simplify right side
    99,126x = 21,979,841,536
  5. Step 5: Solve for x
    x = 21,979,841,536/99,126
  6. Step 6: Final answer
    x = 221,736.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.