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Finding the Third Proportional to 47,410 and 104,365

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Solution

The third proportional to 47,410 and 104,365 is: 229,741.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,410 : 104,365 = 104,365 : x
  2. Step 2: Convert to fraction form
    47,410/104,365 = 104,365/x
  3. Step 3: Cross multiply
    47,410x = 104,365 × 104,365
  4. Step 4: Simplify right side
    47,410x = 10,892,053,225
  5. Step 5: Solve for x
    x = 10,892,053,225/47,410
  6. Step 6: Final answer
    x = 229,741.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.