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Finding the Third Proportional to 84,685.50 and 131,204.81

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Solution

The third proportional to 84,685.50 and 131,204.81 is: 203,278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,685.50 : 131,204.81 = 131,204.81 : x
  2. Step 2: Convert to fraction form
    84,685.50/131,204.81 = 131,204.81/x
  3. Step 3: Cross multiply
    84,685.50x = 131,204.81 × 131,204.81
  4. Step 4: Simplify right side
    84,685.50x = 17,214,702,823.16
  5. Step 5: Solve for x
    x = 17,214,702,823.16/84,685.50
  6. Step 6: Final answer
    x = 203,278.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.