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Finding the Third Proportional to 53,968.78 and 80,953.17

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Solution

The third proportional to 53,968.78 and 80,953.17 is: 121,429.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,968.78 : 80,953.17 = 80,953.17 : x
  2. Step 2: Convert to fraction form
    53,968.78/80,953.17 = 80,953.17/x
  3. Step 3: Cross multiply
    53,968.78x = 80,953.17 × 80,953.17
  4. Step 4: Simplify right side
    53,968.78x = 6,553,416,036.62
  5. Step 5: Solve for x
    x = 6,553,416,036.62/53,968.78
  6. Step 6: Final answer
    x = 121,429.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.