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Finding the Third Proportional to 78,261 and 168,666

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Solution

The third proportional to 78,261 and 168,666 is: 363,504.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,261 : 168,666 = 168,666 : x
  2. Step 2: Convert to fraction form
    78,261/168,666 = 168,666/x
  3. Step 3: Cross multiply
    78,261x = 168,666 × 168,666
  4. Step 4: Simplify right side
    78,261x = 28,448,219,556
  5. Step 5: Solve for x
    x = 28,448,219,556/78,261
  6. Step 6: Final answer
    x = 363,504.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.