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Finding the Third Proportional to 43,782 and 97,770

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Solution

The third proportional to 43,782 and 97,770 is: 218,331.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,782 : 97,770 = 97,770 : x
  2. Step 2: Convert to fraction form
    43,782/97,770 = 97,770/x
  3. Step 3: Cross multiply
    43,782x = 97,770 × 97,770
  4. Step 4: Simplify right side
    43,782x = 9,558,972,900
  5. Step 5: Solve for x
    x = 9,558,972,900/43,782
  6. Step 6: Final answer
    x = 218,331.12

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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.