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Finding the Third Proportional to 77,613 and 170,468

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Solution

The third proportional to 77,613 and 170,468 is: 374,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,613 : 170,468 = 170,468 : x
  2. Step 2: Convert to fraction form
    77,613/170,468 = 170,468/x
  3. Step 3: Cross multiply
    77,613x = 170,468 × 170,468
  4. Step 4: Simplify right side
    77,613x = 29,059,339,024
  5. Step 5: Solve for x
    x = 29,059,339,024/77,613
  6. Step 6: Final answer
    x = 374,413.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.