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Finding the Third Proportional to 80,564 and 91,904

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Solution

The third proportional to 80,564 and 91,904 is: 104,840.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,564 : 91,904 = 91,904 : x
  2. Step 2: Convert to fraction form
    80,564/91,904 = 91,904/x
  3. Step 3: Cross multiply
    80,564x = 91,904 × 91,904
  4. Step 4: Simplify right side
    80,564x = 8,446,345,216
  5. Step 5: Solve for x
    x = 8,446,345,216/80,564
  6. Step 6: Final answer
    x = 104,840.19

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.