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Finding the Third Proportional to 54,329.77 and 83,108.95

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Solution

The third proportional to 54,329.77 and 83,108.95 is: 127,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,329.77 : 83,108.95 = 83,108.95 : x
  2. Step 2: Convert to fraction form
    54,329.77/83,108.95 = 83,108.95/x
  3. Step 3: Cross multiply
    54,329.77x = 83,108.95 × 83,108.95
  4. Step 4: Simplify right side
    54,329.77x = 6,907,098,089.53
  5. Step 5: Solve for x
    x = 6,907,098,089.53/54,329.77
  6. Step 6: Final answer
    x = 127,132.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.