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Finding the Third Proportional to 55,296.84 and 83,403.84

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Solution

The third proportional to 55,296.84 and 83,403.84 is: 125,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,296.84 : 83,403.84 = 83,403.84 : x
  2. Step 2: Convert to fraction form
    55,296.84/83,403.84 = 83,403.84/x
  3. Step 3: Cross multiply
    55,296.84x = 83,403.84 × 83,403.84
  4. Step 4: Simplify right side
    55,296.84x = 6,956,201,152.27
  5. Step 5: Solve for x
    x = 6,956,201,152.27/55,296.84
  6. Step 6: Final answer
    x = 125,797.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.