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Finding the Third Proportional to 97,766 and 144,057

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Solution

The third proportional to 97,766 and 144,057 is: 212,266.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,766 : 144,057 = 144,057 : x
  2. Step 2: Convert to fraction form
    97,766/144,057 = 144,057/x
  3. Step 3: Cross multiply
    97,766x = 144,057 × 144,057
  4. Step 4: Simplify right side
    97,766x = 20,752,419,249
  5. Step 5: Solve for x
    x = 20,752,419,249/97,766
  6. Step 6: Final answer
    x = 212,266.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.