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Finding the Third Proportional to 47,131.50 and 97,545

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Solution

The third proportional to 47,131.50 and 97,545 is: 201,882.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,131.50 : 97,545 = 97,545 : x
  2. Step 2: Convert to fraction form
    47,131.50/97,545 = 97,545/x
  3. Step 3: Cross multiply
    47,131.50x = 97,545 × 97,545
  4. Step 4: Simplify right side
    47,131.50x = 9,515,027,025
  5. Step 5: Solve for x
    x = 9,515,027,025/47,131.50
  6. Step 6: Final answer
    x = 201,882.54

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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.