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Finding the Third Proportional to 113,367.09 and 176,943.66

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Solution

The third proportional to 113,367.09 and 176,943.66 is: 276,174.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,367.09 : 176,943.66 = 176,943.66 : x
  2. Step 2: Convert to fraction form
    113,367.09/176,943.66 = 176,943.66/x
  3. Step 3: Cross multiply
    113,367.09x = 176,943.66 × 176,943.66
  4. Step 4: Simplify right side
    113,367.09x = 31,309,057,487.12
  5. Step 5: Solve for x
    x = 31,309,057,487.12/113,367.09
  6. Step 6: Final answer
    x = 276,174.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.