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Finding the Third Proportional to 48,123 and 99,297

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Solution

The third proportional to 48,123 and 99,297 is: 204,889.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,123 : 99,297 = 99,297 : x
  2. Step 2: Convert to fraction form
    48,123/99,297 = 99,297/x
  3. Step 3: Cross multiply
    48,123x = 99,297 × 99,297
  4. Step 4: Simplify right side
    48,123x = 9,859,894,209
  5. Step 5: Solve for x
    x = 9,859,894,209/48,123
  6. Step 6: Final answer
    x = 204,889.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.