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Finding the Third Proportional to 114,762.38 and 172,144.13

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Solution

The third proportional to 114,762.38 and 172,144.13 is: 258,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,762.38 : 172,144.13 = 172,144.13 : x
  2. Step 2: Convert to fraction form
    114,762.38/172,144.13 = 172,144.13/x
  3. Step 3: Cross multiply
    114,762.38x = 172,144.13 × 172,144.13
  4. Step 4: Simplify right side
    114,762.38x = 29,633,599,772.02
  5. Step 5: Solve for x
    x = 29,633,599,772.02/114,762.38
  6. Step 6: Final answer
    x = 258,217.03

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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.