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Finding the Third Proportional to 135,654.75 and 212,473.13

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Solution

The third proportional to 135,654.75 and 212,473.13 is: 332,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,654.75 : 212,473.13 = 212,473.13 : x
  2. Step 2: Convert to fraction form
    135,654.75/212,473.13 = 212,473.13/x
  3. Step 3: Cross multiply
    135,654.75x = 212,473.13 × 212,473.13
  4. Step 4: Simplify right side
    135,654.75x = 45,144,828,847.27
  5. Step 5: Solve for x
    x = 45,144,828,847.27/135,654.75
  6. Step 6: Final answer
    x = 332,792.10

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.