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Finding the Third Proportional to 43,914 and 97,653

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Solution

The third proportional to 43,914 and 97,653 is: 217,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,914 : 97,653 = 97,653 : x
  2. Step 2: Convert to fraction form
    43,914/97,653 = 97,653/x
  3. Step 3: Cross multiply
    43,914x = 97,653 × 97,653
  4. Step 4: Simplify right side
    43,914x = 9,536,108,409
  5. Step 5: Solve for x
    x = 9,536,108,409/43,914
  6. Step 6: Final answer
    x = 217,154.17

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.