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Finding the Third Proportional to 52,546 and 73,904

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Solution

The third proportional to 52,546 and 73,904 is: 103,943.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,546 : 73,904 = 73,904 : x
  2. Step 2: Convert to fraction form
    52,546/73,904 = 73,904/x
  3. Step 3: Cross multiply
    52,546x = 73,904 × 73,904
  4. Step 4: Simplify right side
    52,546x = 5,461,801,216
  5. Step 5: Solve for x
    x = 5,461,801,216/52,546
  6. Step 6: Final answer
    x = 103,943.23

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.