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Finding the Third Proportional to 114,769.13 and 172,153.69

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Solution

The third proportional to 114,769.13 and 172,153.69 is: 258,230.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,769.13 : 172,153.69 = 172,153.69 : x
  2. Step 2: Convert to fraction form
    114,769.13/172,153.69 = 172,153.69/x
  3. Step 3: Cross multiply
    114,769.13x = 172,153.69 × 172,153.69
  4. Step 4: Simplify right side
    114,769.13x = 29,636,892,119.85
  5. Step 5: Solve for x
    x = 29,636,892,119.85/114,769.13
  6. Step 6: Final answer
    x = 258,230.53

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Why These Related Problems?

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