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Finding the Third Proportional to 47,552 and 100,409

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Solution

The third proportional to 47,552 and 100,409 is: 212,019.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,552 : 100,409 = 100,409 : x
  2. Step 2: Convert to fraction form
    47,552/100,409 = 100,409/x
  3. Step 3: Cross multiply
    47,552x = 100,409 × 100,409
  4. Step 4: Simplify right side
    47,552x = 10,081,967,281
  5. Step 5: Solve for x
    x = 10,081,967,281/47,552
  6. Step 6: Final answer
    x = 212,019.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.