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Finding the Third Proportional to 76,493.74 and 163,512.42

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Solution

The third proportional to 76,493.74 and 163,512.42 is: 349,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,493.74 : 163,512.42 = 163,512.42 : x
  2. Step 2: Convert to fraction form
    76,493.74/163,512.42 = 163,512.42/x
  3. Step 3: Cross multiply
    76,493.74x = 163,512.42 × 163,512.42
  4. Step 4: Simplify right side
    76,493.74x = 26,736,312,107.43
  5. Step 5: Solve for x
    x = 26,736,312,107.43/76,493.74
  6. Step 6: Final answer
    x = 349,522.87

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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.