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Finding the Third Proportional to 110,574 and 151,311.38

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Solution

The third proportional to 110,574 and 151,311.38 is: 207,057.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,574 : 151,311.38 = 151,311.38 : x
  2. Step 2: Convert to fraction form
    110,574/151,311.38 = 151,311.38/x
  3. Step 3: Cross multiply
    110,574x = 151,311.38 × 151,311.38
  4. Step 4: Simplify right side
    110,574x = 22,895,132,204.39
  5. Step 5: Solve for x
    x = 22,895,132,204.39/110,574
  6. Step 6: Final answer
    x = 207,057.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.