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Finding the Third Proportional to 84,949.88 and 134,957.81

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Solution

The third proportional to 84,949.88 and 134,957.81 is: 214,404.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,949.88 : 134,957.81 = 134,957.81 : x
  2. Step 2: Convert to fraction form
    84,949.88/134,957.81 = 134,957.81/x
  3. Step 3: Cross multiply
    84,949.88x = 134,957.81 × 134,957.81
  4. Step 4: Simplify right side
    84,949.88x = 18,213,611,154.79
  5. Step 5: Solve for x
    x = 18,213,611,154.79/84,949.88
  6. Step 6: Final answer
    x = 214,404.21

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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.