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Finding the Third Proportional to 43,633 and 97,138

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Solution

The third proportional to 43,633 and 97,138 is: 216,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,633 : 97,138 = 97,138 : x
  2. Step 2: Convert to fraction form
    43,633/97,138 = 97,138/x
  3. Step 3: Cross multiply
    43,633x = 97,138 × 97,138
  4. Step 4: Simplify right side
    43,633x = 9,435,791,044
  5. Step 5: Solve for x
    x = 9,435,791,044/43,633
  6. Step 6: Final answer
    x = 216,253.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.