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Finding the Third Proportional to 78,556 and 169,563

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Solution

The third proportional to 78,556 and 169,563 is: 366,001.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,556 : 169,563 = 169,563 : x
  2. Step 2: Convert to fraction form
    78,556/169,563 = 169,563/x
  3. Step 3: Cross multiply
    78,556x = 169,563 × 169,563
  4. Step 4: Simplify right side
    78,556x = 28,751,610,969
  5. Step 5: Solve for x
    x = 28,751,610,969/78,556
  6. Step 6: Final answer
    x = 366,001.46

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Why These Related Problems?

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