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Finding the Third Proportional to 46,556 and 100,552

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Solution

The third proportional to 46,556 and 100,552 is: 217,172.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,556 : 100,552 = 100,552 : x
  2. Step 2: Convert to fraction form
    46,556/100,552 = 100,552/x
  3. Step 3: Cross multiply
    46,556x = 100,552 × 100,552
  4. Step 4: Simplify right side
    46,556x = 10,110,704,704
  5. Step 5: Solve for x
    x = 10,110,704,704/46,556
  6. Step 6: Final answer
    x = 217,172.97

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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.