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Finding the Third Proportional to 47,362 and 103,499

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Solution

The third proportional to 47,362 and 103,499 is: 226,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,362 : 103,499 = 103,499 : x
  2. Step 2: Convert to fraction form
    47,362/103,499 = 103,499/x
  3. Step 3: Cross multiply
    47,362x = 103,499 × 103,499
  4. Step 4: Simplify right side
    47,362x = 10,712,043,001
  5. Step 5: Solve for x
    x = 10,712,043,001/47,362
  6. Step 6: Final answer
    x = 226,173.79

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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.