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Finding the Third Proportional to 49,435 and 108,709

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Solution

The third proportional to 49,435 and 108,709 is: 239,054.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,435 : 108,709 = 108,709 : x
  2. Step 2: Convert to fraction form
    49,435/108,709 = 108,709/x
  3. Step 3: Cross multiply
    49,435x = 108,709 × 108,709
  4. Step 4: Simplify right side
    49,435x = 11,817,646,681
  5. Step 5: Solve for x
    x = 11,817,646,681/49,435
  6. Step 6: Final answer
    x = 239,054.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.