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Finding the Third Proportional to 47,351 and 105,213

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Solution

The third proportional to 47,351 and 105,213 is: 233,781.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,351 : 105,213 = 105,213 : x
  2. Step 2: Convert to fraction form
    47,351/105,213 = 105,213/x
  3. Step 3: Cross multiply
    47,351x = 105,213 × 105,213
  4. Step 4: Simplify right side
    47,351x = 11,069,775,369
  5. Step 5: Solve for x
    x = 11,069,775,369/47,351
  6. Step 6: Final answer
    x = 233,781.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.