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Finding the Third Proportional to 47,355 and 102,089

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Solution

The third proportional to 47,355 and 102,089 is: 220,085.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,355 : 102,089 = 102,089 : x
  2. Step 2: Convert to fraction form
    47,355/102,089 = 102,089/x
  3. Step 3: Cross multiply
    47,355x = 102,089 × 102,089
  4. Step 4: Simplify right side
    47,355x = 10,422,163,921
  5. Step 5: Solve for x
    x = 10,422,163,921/47,355
  6. Step 6: Final answer
    x = 220,085.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.