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Finding the Third Proportional to 97,022 and 144,936

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Solution

The third proportional to 97,022 and 144,936 is: 216,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,022 : 144,936 = 144,936 : x
  2. Step 2: Convert to fraction form
    97,022/144,936 = 144,936/x
  3. Step 3: Cross multiply
    97,022x = 144,936 × 144,936
  4. Step 4: Simplify right side
    97,022x = 21,006,444,096
  5. Step 5: Solve for x
    x = 21,006,444,096/97,022
  6. Step 6: Final answer
    x = 216,512.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.