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Finding the Third Proportional to 99,054 and 146,395

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Solution

The third proportional to 99,054 and 146,395 is: 216,361.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,054 : 146,395 = 146,395 : x
  2. Step 2: Convert to fraction form
    99,054/146,395 = 146,395/x
  3. Step 3: Cross multiply
    99,054x = 146,395 × 146,395
  4. Step 4: Simplify right side
    99,054x = 21,431,496,025
  5. Step 5: Solve for x
    x = 21,431,496,025/99,054
  6. Step 6: Final answer
    x = 216,361.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.