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Finding the Third Proportional to 64,411.50 and 137,667.75

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Solution

The third proportional to 64,411.50 and 137,667.75 is: 294,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,411.50 : 137,667.75 = 137,667.75 : x
  2. Step 2: Convert to fraction form
    64,411.50/137,667.75 = 137,667.75/x
  3. Step 3: Cross multiply
    64,411.50x = 137,667.75 × 137,667.75
  4. Step 4: Simplify right side
    64,411.50x = 18,952,409,390.06
  5. Step 5: Solve for x
    x = 18,952,409,390.06/64,411.50
  6. Step 6: Final answer
    x = 294,239.53

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.