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Finding the Third Proportional to 86,251.50 and 134,624.25

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Solution

The third proportional to 86,251.50 and 134,624.25 is: 210,126.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,251.50 : 134,624.25 = 134,624.25 : x
  2. Step 2: Convert to fraction form
    86,251.50/134,624.25 = 134,624.25/x
  3. Step 3: Cross multiply
    86,251.50x = 134,624.25 × 134,624.25
  4. Step 4: Simplify right side
    86,251.50x = 18,123,688,688.06
  5. Step 5: Solve for x
    x = 18,123,688,688.06/86,251.50
  6. Step 6: Final answer
    x = 210,126.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.