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Finding the Third Proportional to 47,518 and 100,376

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Solution

The third proportional to 47,518 and 100,376 is: 212,032.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,518 : 100,376 = 100,376 : x
  2. Step 2: Convert to fraction form
    47,518/100,376 = 100,376/x
  3. Step 3: Cross multiply
    47,518x = 100,376 × 100,376
  4. Step 4: Simplify right side
    47,518x = 10,075,341,376
  5. Step 5: Solve for x
    x = 10,075,341,376/47,518
  6. Step 6: Final answer
    x = 212,032.10

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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.