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Finding the Third Proportional to 53,816 and 73,875

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Solution

The third proportional to 53,816 and 73,875 is: 101,410.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,816 : 73,875 = 73,875 : x
  2. Step 2: Convert to fraction form
    53,816/73,875 = 73,875/x
  3. Step 3: Cross multiply
    53,816x = 73,875 × 73,875
  4. Step 4: Simplify right side
    53,816x = 5,457,515,625
  5. Step 5: Solve for x
    x = 5,457,515,625/53,816
  6. Step 6: Final answer
    x = 101,410.65

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.