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Finding the Third Proportional to 50,116 and 77,062

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Solution

The third proportional to 50,116 and 77,062 is: 118,496.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,116 : 77,062 = 77,062 : x
  2. Step 2: Convert to fraction form
    50,116/77,062 = 77,062/x
  3. Step 3: Cross multiply
    50,116x = 77,062 × 77,062
  4. Step 4: Simplify right side
    50,116x = 5,938,551,844
  5. Step 5: Solve for x
    x = 5,938,551,844/50,116
  6. Step 6: Final answer
    x = 118,496.13

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.