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Finding the Third Proportional to 124,536.38 and 196,887.38

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Solution

The third proportional to 124,536.38 and 196,887.38 is: 311,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,536.38 : 196,887.38 = 196,887.38 : x
  2. Step 2: Convert to fraction form
    124,536.38/196,887.38 = 196,887.38/x
  3. Step 3: Cross multiply
    124,536.38x = 196,887.38 × 196,887.38
  4. Step 4: Simplify right side
    124,536.38x = 38,764,638,434.39
  5. Step 5: Solve for x
    x = 38,764,638,434.39/124,536.38
  6. Step 6: Final answer
    x = 311,271.61

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.