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Finding the Third Proportional to 49,949 and 70,262

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Solution

The third proportional to 49,949 and 70,262 is: 98,835.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,949 : 70,262 = 70,262 : x
  2. Step 2: Convert to fraction form
    49,949/70,262 = 70,262/x
  3. Step 3: Cross multiply
    49,949x = 70,262 × 70,262
  4. Step 4: Simplify right side
    49,949x = 4,936,748,644
  5. Step 5: Solve for x
    x = 4,936,748,644/49,949
  6. Step 6: Final answer
    x = 98,835.79

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.