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Finding the Third Proportional to 49,098 and 107,754

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Solution

The third proportional to 49,098 and 107,754 is: 236,484.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,098 : 107,754 = 107,754 : x
  2. Step 2: Convert to fraction form
    49,098/107,754 = 107,754/x
  3. Step 3: Cross multiply
    49,098x = 107,754 × 107,754
  4. Step 4: Simplify right side
    49,098x = 11,610,924,516
  5. Step 5: Solve for x
    x = 11,610,924,516/49,098
  6. Step 6: Final answer
    x = 236,484.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.