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Finding the Third Proportional to 64,206.75 and 138,294.75

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Solution

The third proportional to 64,206.75 and 138,294.75 is: 297,872.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,206.75 : 138,294.75 = 138,294.75 : x
  2. Step 2: Convert to fraction form
    64,206.75/138,294.75 = 138,294.75/x
  3. Step 3: Cross multiply
    64,206.75x = 138,294.75 × 138,294.75
  4. Step 4: Simplify right side
    64,206.75x = 19,125,437,877.56
  5. Step 5: Solve for x
    x = 19,125,437,877.56/64,206.75
  6. Step 6: Final answer
    x = 297,872.70

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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.