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Finding the Third Proportional to 54,351 and 74,830.50

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Solution

The third proportional to 54,351 and 74,830.50 is: 103,026.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,351 : 74,830.50 = 74,830.50 : x
  2. Step 2: Convert to fraction form
    54,351/74,830.50 = 74,830.50/x
  3. Step 3: Cross multiply
    54,351x = 74,830.50 × 74,830.50
  4. Step 4: Simplify right side
    54,351x = 5,599,603,730.25
  5. Step 5: Solve for x
    x = 5,599,603,730.25/54,351
  6. Step 6: Final answer
    x = 103,026.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.