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Finding the Third Proportional to 50,186.25 and 77,675.63

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Solution

The third proportional to 50,186.25 and 77,675.63 is: 120,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,186.25 : 77,675.63 = 77,675.63 : x
  2. Step 2: Convert to fraction form
    50,186.25/77,675.63 = 77,675.63/x
  3. Step 3: Cross multiply
    50,186.25x = 77,675.63 × 77,675.63
  4. Step 4: Simplify right side
    50,186.25x = 6,033,502,719.14
  5. Step 5: Solve for x
    x = 6,033,502,719.14/50,186.25
  6. Step 6: Final answer
    x = 120,222.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.