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Finding the Third Proportional to 52,866 and 72,603

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Solution

The third proportional to 52,866 and 72,603 is: 99,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,866 : 72,603 = 72,603 : x
  2. Step 2: Convert to fraction form
    52,866/72,603 = 72,603/x
  3. Step 3: Cross multiply
    52,866x = 72,603 × 72,603
  4. Step 4: Simplify right side
    52,866x = 5,271,195,609
  5. Step 5: Solve for x
    x = 5,271,195,609/52,866
  6. Step 6: Final answer
    x = 99,708.61

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