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Finding the Third Proportional to 54,145.69 and 83,332.94

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Solution

The third proportional to 54,145.69 and 83,332.94 is: 128,253.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,145.69 : 83,332.94 = 83,332.94 : x
  2. Step 2: Convert to fraction form
    54,145.69/83,332.94 = 83,332.94/x
  3. Step 3: Cross multiply
    54,145.69x = 83,332.94 × 83,332.94
  4. Step 4: Simplify right side
    54,145.69x = 6,944,378,472.38
  5. Step 5: Solve for x
    x = 6,944,378,472.38/54,145.69
  6. Step 6: Final answer
    x = 128,253.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.