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Finding the Third Proportional to 50,787 and 77,313

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Solution

The third proportional to 50,787 and 77,313 is: 117,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,787 : 77,313 = 77,313 : x
  2. Step 2: Convert to fraction form
    50,787/77,313 = 77,313/x
  3. Step 3: Cross multiply
    50,787x = 77,313 × 77,313
  4. Step 4: Simplify right side
    50,787x = 5,977,299,969
  5. Step 5: Solve for x
    x = 5,977,299,969/50,787
  6. Step 6: Final answer
    x = 117,693.50

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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.