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Finding the Third Proportional to 49,245.47 and 75,098.39

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Solution

The third proportional to 49,245.47 and 75,098.39 is: 114,523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,245.47 : 75,098.39 = 75,098.39 : x
  2. Step 2: Convert to fraction form
    49,245.47/75,098.39 = 75,098.39/x
  3. Step 3: Cross multiply
    49,245.47x = 75,098.39 × 75,098.39
  4. Step 4: Simplify right side
    49,245.47x = 5,639,768,274.47
  5. Step 5: Solve for x
    x = 5,639,768,274.47/49,245.47
  6. Step 6: Final answer
    x = 114,523.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.