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Finding the Third Proportional to 64,000.13 and 137,811.38

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Solution

The third proportional to 64,000.13 and 137,811.38 is: 296,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,000.13 : 137,811.38 = 137,811.38 : x
  2. Step 2: Convert to fraction form
    64,000.13/137,811.38 = 137,811.38/x
  3. Step 3: Cross multiply
    64,000.13x = 137,811.38 × 137,811.38
  4. Step 4: Simplify right side
    64,000.13x = 18,991,975,079.39
  5. Step 5: Solve for x
    x = 18,991,975,079.39/64,000.13
  6. Step 6: Final answer
    x = 296,749.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.