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Finding the Third Proportional to 47,131 and 97,543

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Solution

The third proportional to 47,131 and 97,543 is: 201,876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,131 : 97,543 = 97,543 : x
  2. Step 2: Convert to fraction form
    47,131/97,543 = 97,543/x
  3. Step 3: Cross multiply
    47,131x = 97,543 × 97,543
  4. Step 4: Simplify right side
    47,131x = 9,514,636,849
  5. Step 5: Solve for x
    x = 9,514,636,849/47,131
  6. Step 6: Final answer
    x = 201,876.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.