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Finding the Third Proportional to 69,877.69 and 108,968.41

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Solution

The third proportional to 69,877.69 and 108,968.41 is: 169,927.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,877.69 : 108,968.41 = 108,968.41 : x
  2. Step 2: Convert to fraction form
    69,877.69/108,968.41 = 108,968.41/x
  3. Step 3: Cross multiply
    69,877.69x = 108,968.41 × 108,968.41
  4. Step 4: Simplify right side
    69,877.69x = 11,874,115,263.30
  5. Step 5: Solve for x
    x = 11,874,115,263.30/69,877.69
  6. Step 6: Final answer
    x = 169,927.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.