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Finding the Third Proportional to 47,317 and 103,488

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Solution

The third proportional to 47,317 and 103,488 is: 226,340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,317 : 103,488 = 103,488 : x
  2. Step 2: Convert to fraction form
    47,317/103,488 = 103,488/x
  3. Step 3: Cross multiply
    47,317x = 103,488 × 103,488
  4. Step 4: Simplify right side
    47,317x = 10,709,766,144
  5. Step 5: Solve for x
    x = 10,709,766,144/47,317
  6. Step 6: Final answer
    x = 226,340.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.