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Finding the Third Proportional to 46,761 and 72,600

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Solution

The third proportional to 46,761 and 72,600 is: 112,717.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,761 : 72,600 = 72,600 : x
  2. Step 2: Convert to fraction form
    46,761/72,600 = 72,600/x
  3. Step 3: Cross multiply
    46,761x = 72,600 × 72,600
  4. Step 4: Simplify right side
    46,761x = 5,270,760,000
  5. Step 5: Solve for x
    x = 5,270,760,000/46,761
  6. Step 6: Final answer
    x = 112,717.01

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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.