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Finding the Third Proportional to 109,245 and 149,509.50

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Solution

The third proportional to 109,245 and 149,509.50 is: 204,614.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,245 : 149,509.50 = 149,509.50 : x
  2. Step 2: Convert to fraction form
    109,245/149,509.50 = 149,509.50/x
  3. Step 3: Cross multiply
    109,245x = 149,509.50 × 149,509.50
  4. Step 4: Simplify right side
    109,245x = 22,353,090,590.25
  5. Step 5: Solve for x
    x = 22,353,090,590.25/109,245
  6. Step 6: Final answer
    x = 204,614.31

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.