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Finding the Third Proportional to 47,292 and 73,326

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Solution

The third proportional to 47,292 and 73,326 is: 113,691.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,292 : 73,326 = 73,326 : x
  2. Step 2: Convert to fraction form
    47,292/73,326 = 73,326/x
  3. Step 3: Cross multiply
    47,292x = 73,326 × 73,326
  4. Step 4: Simplify right side
    47,292x = 5,376,702,276
  5. Step 5: Solve for x
    x = 5,376,702,276/47,292
  6. Step 6: Final answer
    x = 113,691.58

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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.