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Finding the Third Proportional to 118,109 and 179,349.50

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Solution

The third proportional to 118,109 and 179,349.50 is: 272,343.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,109 : 179,349.50 = 179,349.50 : x
  2. Step 2: Convert to fraction form
    118,109/179,349.50 = 179,349.50/x
  3. Step 3: Cross multiply
    118,109x = 179,349.50 × 179,349.50
  4. Step 4: Simplify right side
    118,109x = 32,166,243,150.25
  5. Step 5: Solve for x
    x = 32,166,243,150.25/118,109
  6. Step 6: Final answer
    x = 272,343.71

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.