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Finding the Third Proportional to 44,766 and 97,526

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Solution

The third proportional to 44,766 and 97,526 is: 212,467.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,766 : 97,526 = 97,526 : x
  2. Step 2: Convert to fraction form
    44,766/97,526 = 97,526/x
  3. Step 3: Cross multiply
    44,766x = 97,526 × 97,526
  4. Step 4: Simplify right side
    44,766x = 9,511,320,676
  5. Step 5: Solve for x
    x = 9,511,320,676/44,766
  6. Step 6: Final answer
    x = 212,467.51

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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.