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Finding the Third Proportional to 46,710 and 72,249

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Solution

The third proportional to 46,710 and 72,249 is: 111,751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,710 : 72,249 = 72,249 : x
  2. Step 2: Convert to fraction form
    46,710/72,249 = 72,249/x
  3. Step 3: Cross multiply
    46,710x = 72,249 × 72,249
  4. Step 4: Simplify right side
    46,710x = 5,219,918,001
  5. Step 5: Solve for x
    x = 5,219,918,001/46,710
  6. Step 6: Final answer
    x = 111,751.62

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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.