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Finding the Third Proportional to 47,376 and 103,230

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Solution

The third proportional to 47,376 and 103,230 is: 224,933.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,376 : 103,230 = 103,230 : x
  2. Step 2: Convert to fraction form
    47,376/103,230 = 103,230/x
  3. Step 3: Cross multiply
    47,376x = 103,230 × 103,230
  4. Step 4: Simplify right side
    47,376x = 10,656,432,900
  5. Step 5: Solve for x
    x = 10,656,432,900/47,376
  6. Step 6: Final answer
    x = 224,933.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.