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Finding the Third Proportional to 64,909 and 100,229.50

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Solution

The third proportional to 64,909 and 100,229.50 is: 154,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,909 : 100,229.50 = 100,229.50 : x
  2. Step 2: Convert to fraction form
    64,909/100,229.50 = 100,229.50/x
  3. Step 3: Cross multiply
    64,909x = 100,229.50 × 100,229.50
  4. Step 4: Simplify right side
    64,909x = 10,045,952,670.25
  5. Step 5: Solve for x
    x = 10,045,952,670.25/64,909
  6. Step 6: Final answer
    x = 154,769.80

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.