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Finding the Third Proportional to 72,504 and 112,062

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Solution

The third proportional to 72,504 and 112,062 is: 173,202.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,504 : 112,062 = 112,062 : x
  2. Step 2: Convert to fraction form
    72,504/112,062 = 112,062/x
  3. Step 3: Cross multiply
    72,504x = 112,062 × 112,062
  4. Step 4: Simplify right side
    72,504x = 12,557,891,844
  5. Step 5: Solve for x
    x = 12,557,891,844/72,504
  6. Step 6: Final answer
    x = 173,202.75

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.