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Finding the Third Proportional to 66,511.69 and 97,822.69

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Solution

The third proportional to 66,511.69 and 97,822.69 is: 143,873.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,511.69 : 97,822.69 = 97,822.69 : x
  2. Step 2: Convert to fraction form
    66,511.69/97,822.69 = 97,822.69/x
  3. Step 3: Cross multiply
    66,511.69x = 97,822.69 × 97,822.69
  4. Step 4: Simplify right side
    66,511.69x = 9,569,278,189.72
  5. Step 5: Solve for x
    x = 9,569,278,189.72/66,511.69
  6. Step 6: Final answer
    x = 143,873.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.