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Finding the Third Proportional to 46,854 and 102,924

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Solution

The third proportional to 46,854 and 102,924 is: 226,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,854 : 102,924 = 102,924 : x
  2. Step 2: Convert to fraction form
    46,854/102,924 = 102,924/x
  3. Step 3: Cross multiply
    46,854x = 102,924 × 102,924
  4. Step 4: Simplify right side
    46,854x = 10,593,349,776
  5. Step 5: Solve for x
    x = 10,593,349,776/46,854
  6. Step 6: Final answer
    x = 226,092.75

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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.