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Finding the Third Proportional to 135,124.88 and 211,966.88

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Solution

The third proportional to 135,124.88 and 211,966.88 is: 332,506.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,124.88 : 211,966.88 = 211,966.88 : x
  2. Step 2: Convert to fraction form
    135,124.88/211,966.88 = 211,966.88/x
  3. Step 3: Cross multiply
    135,124.88x = 211,966.88 × 211,966.88
  4. Step 4: Simplify right side
    135,124.88x = 44,929,956,097.27
  5. Step 5: Solve for x
    x = 44,929,956,097.27/135,124.88
  6. Step 6: Final answer
    x = 332,506.92

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