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Finding the Third Proportional to 47,358 and 102,098

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Solution

The third proportional to 47,358 and 102,098 is: 220,110.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,358 : 102,098 = 102,098 : x
  2. Step 2: Convert to fraction form
    47,358/102,098 = 102,098/x
  3. Step 3: Cross multiply
    47,358x = 102,098 × 102,098
  4. Step 4: Simplify right side
    47,358x = 10,424,001,604
  5. Step 5: Solve for x
    x = 10,424,001,604/47,358
  6. Step 6: Final answer
    x = 220,110.68

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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.