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Finding the Third Proportional to 49,136.63 and 75,137.63

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Solution

The third proportional to 49,136.63 and 75,137.63 is: 114,897.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,136.63 : 75,137.63 = 75,137.63 : x
  2. Step 2: Convert to fraction form
    49,136.63/75,137.63 = 75,137.63/x
  3. Step 3: Cross multiply
    49,136.63x = 75,137.63 × 75,137.63
  4. Step 4: Simplify right side
    49,136.63x = 5,645,662,690.64
  5. Step 5: Solve for x
    x = 5,645,662,690.64/49,136.63
  6. Step 6: Final answer
    x = 114,897.24

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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.