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Finding the Third Proportional to 64,062 and 137,965.50

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Solution

The third proportional to 64,062 and 137,965.50 is: 297,125.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,062 : 137,965.50 = 137,965.50 : x
  2. Step 2: Convert to fraction form
    64,062/137,965.50 = 137,965.50/x
  3. Step 3: Cross multiply
    64,062x = 137,965.50 × 137,965.50
  4. Step 4: Simplify right side
    64,062x = 19,034,479,190.25
  5. Step 5: Solve for x
    x = 19,034,479,190.25/64,062
  6. Step 6: Final answer
    x = 297,125.90

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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.