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Finding the Third Proportional to 47,897 and 104,854

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Solution

The third proportional to 47,897 and 104,854 is: 229,541.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,897 : 104,854 = 104,854 : x
  2. Step 2: Convert to fraction form
    47,897/104,854 = 104,854/x
  3. Step 3: Cross multiply
    47,897x = 104,854 × 104,854
  4. Step 4: Simplify right side
    47,897x = 10,994,361,316
  5. Step 5: Solve for x
    x = 10,994,361,316/47,897
  6. Step 6: Final answer
    x = 229,541.75

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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.