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Finding the Third Proportional to 68,821.13 and 96,917.06

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Solution

The third proportional to 68,821.13 and 96,917.06 is: 136,483.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,821.13 : 96,917.06 = 96,917.06 : x
  2. Step 2: Convert to fraction form
    68,821.13/96,917.06 = 96,917.06/x
  3. Step 3: Cross multiply
    68,821.13x = 96,917.06 × 96,917.06
  4. Step 4: Simplify right side
    68,821.13x = 9,392,917,003.63
  5. Step 5: Solve for x
    x = 9,392,917,003.63/68,821.13
  6. Step 6: Final answer
    x = 136,483.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.