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Finding the Third Proportional to 48,942 and 75,352.50

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Solution

The third proportional to 48,942 and 75,352.50 is: 116,014.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,942 : 75,352.50 = 75,352.50 : x
  2. Step 2: Convert to fraction form
    48,942/75,352.50 = 75,352.50/x
  3. Step 3: Cross multiply
    48,942x = 75,352.50 × 75,352.50
  4. Step 4: Simplify right side
    48,942x = 5,677,999,256.25
  5. Step 5: Solve for x
    x = 5,677,999,256.25/48,942
  6. Step 6: Final answer
    x = 116,014.86

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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.