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Finding the Third Proportional to 135,982 and 191,154.50

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Solution

The third proportional to 135,982 and 191,154.50 is: 268,712.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,982 : 191,154.50 = 191,154.50 : x
  2. Step 2: Convert to fraction form
    135,982/191,154.50 = 191,154.50/x
  3. Step 3: Cross multiply
    135,982x = 191,154.50 × 191,154.50
  4. Step 4: Simplify right side
    135,982x = 36,540,042,870.25
  5. Step 5: Solve for x
    x = 36,540,042,870.25/135,982
  6. Step 6: Final answer
    x = 268,712.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.