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Finding the Third Proportional to 47,746 and 105,023

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Solution

The third proportional to 47,746 and 105,023 is: 231,010.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,746 : 105,023 = 105,023 : x
  2. Step 2: Convert to fraction form
    47,746/105,023 = 105,023/x
  3. Step 3: Cross multiply
    47,746x = 105,023 × 105,023
  4. Step 4: Simplify right side
    47,746x = 11,029,830,529
  5. Step 5: Solve for x
    x = 11,029,830,529/47,746
  6. Step 6: Final answer
    x = 231,010.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.