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Finding the Third Proportional to 73,446 and 158,556

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Solution

The third proportional to 73,446 and 158,556 is: 342,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,446 : 158,556 = 158,556 : x
  2. Step 2: Convert to fraction form
    73,446/158,556 = 158,556/x
  3. Step 3: Cross multiply
    73,446x = 158,556 × 158,556
  4. Step 4: Simplify right side
    73,446x = 25,140,005,136
  5. Step 5: Solve for x
    x = 25,140,005,136/73,446
  6. Step 6: Final answer
    x = 342,292.37

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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.