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Finding the Third Proportional to 99,173 and 153,134

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Solution

The third proportional to 99,173 and 153,134 is: 236,455.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,173 : 153,134 = 153,134 : x
  2. Step 2: Convert to fraction form
    99,173/153,134 = 153,134/x
  3. Step 3: Cross multiply
    99,173x = 153,134 × 153,134
  4. Step 4: Simplify right side
    99,173x = 23,450,021,956
  5. Step 5: Solve for x
    x = 23,450,021,956/99,173
  6. Step 6: Final answer
    x = 236,455.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.