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Finding the Third Proportional to 47,888 and 97,143

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Solution

The third proportional to 47,888 and 97,143 is: 197,059.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,888 : 97,143 = 97,143 : x
  2. Step 2: Convert to fraction form
    47,888/97,143 = 97,143/x
  3. Step 3: Cross multiply
    47,888x = 97,143 × 97,143
  4. Step 4: Simplify right side
    47,888x = 9,436,762,449
  5. Step 5: Solve for x
    x = 9,436,762,449/47,888
  6. Step 6: Final answer
    x = 197,059.02

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.