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Finding the Third Proportional to 85,384.13 and 135,958.50

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Solution

The third proportional to 85,384.13 and 135,958.50 is: 216,488.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,384.13 : 135,958.50 = 135,958.50 : x
  2. Step 2: Convert to fraction form
    85,384.13/135,958.50 = 135,958.50/x
  3. Step 3: Cross multiply
    85,384.13x = 135,958.50 × 135,958.50
  4. Step 4: Simplify right side
    85,384.13x = 18,484,713,722.25
  5. Step 5: Solve for x
    x = 18,484,713,722.25/85,384.13
  6. Step 6: Final answer
    x = 216,488.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.