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Finding the Third Proportional to 46,611 and 72,306

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Solution

The third proportional to 46,611 and 72,306 is: 112,165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,611 : 72,306 = 72,306 : x
  2. Step 2: Convert to fraction form
    46,611/72,306 = 72,306/x
  3. Step 3: Cross multiply
    46,611x = 72,306 × 72,306
  4. Step 4: Simplify right side
    46,611x = 5,228,157,636
  5. Step 5: Solve for x
    x = 5,228,157,636/46,611
  6. Step 6: Final answer
    x = 112,165.75

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Why These Related Problems?

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