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Finding the Third Proportional to 50,787 and 110,943

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Solution

The third proportional to 50,787 and 110,943 is: 242,352.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,787 : 110,943 = 110,943 : x
  2. Step 2: Convert to fraction form
    50,787/110,943 = 110,943/x
  3. Step 3: Cross multiply
    50,787x = 110,943 × 110,943
  4. Step 4: Simplify right side
    50,787x = 12,308,349,249
  5. Step 5: Solve for x
    x = 12,308,349,249/50,787
  6. Step 6: Final answer
    x = 242,352.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.