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Finding the Third Proportional to 68,893.69 and 97,511.81

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Solution

The third proportional to 68,893.69 and 97,511.81 is: 138,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,893.69 : 97,511.81 = 97,511.81 : x
  2. Step 2: Convert to fraction form
    68,893.69/97,511.81 = 97,511.81/x
  3. Step 3: Cross multiply
    68,893.69x = 97,511.81 × 97,511.81
  4. Step 4: Simplify right side
    68,893.69x = 9,508,553,577.04
  5. Step 5: Solve for x
    x = 9,508,553,577.04/68,893.69
  6. Step 6: Final answer
    x = 138,017.78

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.