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Finding the Third Proportional to 63,120.84 and 134,989.69

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Solution

The third proportional to 63,120.84 and 134,989.69 is: 288,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,120.84 : 134,989.69 = 134,989.69 : x
  2. Step 2: Convert to fraction form
    63,120.84/134,989.69 = 134,989.69/x
  3. Step 3: Cross multiply
    63,120.84x = 134,989.69 × 134,989.69
  4. Step 4: Simplify right side
    63,120.84x = 18,222,215,731.35
  5. Step 5: Solve for x
    x = 18,222,215,731.35/63,120.84
  6. Step 6: Final answer
    x = 288,687.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.