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Finding the Third Proportional to 52,951 and 74,062.50

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Solution

The third proportional to 52,951 and 74,062.50 is: 103,591.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,951 : 74,062.50 = 74,062.50 : x
  2. Step 2: Convert to fraction form
    52,951/74,062.50 = 74,062.50/x
  3. Step 3: Cross multiply
    52,951x = 74,062.50 × 74,062.50
  4. Step 4: Simplify right side
    52,951x = 5,485,253,906.25
  5. Step 5: Solve for x
    x = 5,485,253,906.25/52,951
  6. Step 6: Final answer
    x = 103,591.13

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.