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Finding the Third Proportional to 111,210 and 172,344.75

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Solution

The third proportional to 111,210 and 172,344.75 is: 267,086.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,210 : 172,344.75 = 172,344.75 : x
  2. Step 2: Convert to fraction form
    111,210/172,344.75 = 172,344.75/x
  3. Step 3: Cross multiply
    111,210x = 172,344.75 × 172,344.75
  4. Step 4: Simplify right side
    111,210x = 29,702,712,852.56
  5. Step 5: Solve for x
    x = 29,702,712,852.56/111,210
  6. Step 6: Final answer
    x = 267,086.71

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Why These Related Problems?

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