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Finding the Third Proportional to 40,646 and 88,760

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Solution

The third proportional to 40,646 and 88,760 is: 193,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,646 : 88,760 = 88,760 : x
  2. Step 2: Convert to fraction form
    40,646/88,760 = 88,760/x
  3. Step 3: Cross multiply
    40,646x = 88,760 × 88,760
  4. Step 4: Simplify right side
    40,646x = 7,878,337,600
  5. Step 5: Solve for x
    x = 7,878,337,600/40,646
  6. Step 6: Final answer
    x = 193,828.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.