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Finding the Third Proportional to 50,817 and 75,488.25

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Solution

The third proportional to 50,817 and 75,488.25 is: 112,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,817 : 75,488.25 = 75,488.25 : x
  2. Step 2: Convert to fraction form
    50,817/75,488.25 = 75,488.25/x
  3. Step 3: Cross multiply
    50,817x = 75,488.25 × 75,488.25
  4. Step 4: Simplify right side
    50,817x = 5,698,475,888.06
  5. Step 5: Solve for x
    x = 5,698,475,888.06/50,817
  6. Step 6: Final answer
    x = 112,137.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.