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Finding the Third Proportional to 94,556 and 144,345

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Solution

The third proportional to 94,556 and 144,345 is: 220,350.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,556 : 144,345 = 144,345 : x
  2. Step 2: Convert to fraction form
    94,556/144,345 = 144,345/x
  3. Step 3: Cross multiply
    94,556x = 144,345 × 144,345
  4. Step 4: Simplify right side
    94,556x = 20,835,479,025
  5. Step 5: Solve for x
    x = 20,835,479,025/94,556
  6. Step 6: Final answer
    x = 220,350.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.