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Finding the Third Proportional to 111,375 and 172,337.63

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Solution

The third proportional to 111,375 and 172,337.63 is: 266,668.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,375 : 172,337.63 = 172,337.63 : x
  2. Step 2: Convert to fraction form
    111,375/172,337.63 = 172,337.63/x
  3. Step 3: Cross multiply
    111,375x = 172,337.63 × 172,337.63
  4. Step 4: Simplify right side
    111,375x = 29,700,256,990.64
  5. Step 5: Solve for x
    x = 29,700,256,990.64/111,375
  6. Step 6: Final answer
    x = 266,668.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.