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Finding the Third Proportional to 48,165.26 and 74,981.64

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Solution

The third proportional to 48,165.26 and 74,981.64 is: 116,728.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,165.26 : 74,981.64 = 74,981.64 : x
  2. Step 2: Convert to fraction form
    48,165.26/74,981.64 = 74,981.64/x
  3. Step 3: Cross multiply
    48,165.26x = 74,981.64 × 74,981.64
  4. Step 4: Simplify right side
    48,165.26x = 5,622,245,845.02
  5. Step 5: Solve for x
    x = 5,622,245,845.02/48,165.26
  6. Step 6: Final answer
    x = 116,728.24

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.