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Finding the Third Proportional to 51,308 and 77,110

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Solution

The third proportional to 51,308 and 77,110 is: 115,887.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,308 : 77,110 = 77,110 : x
  2. Step 2: Convert to fraction form
    51,308/77,110 = 77,110/x
  3. Step 3: Cross multiply
    51,308x = 77,110 × 77,110
  4. Step 4: Simplify right side
    51,308x = 5,945,952,100
  5. Step 5: Solve for x
    x = 5,945,952,100/51,308
  6. Step 6: Final answer
    x = 115,887.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.