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Finding the Third Proportional to 73,886.50 and 111,377

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Solution

The third proportional to 73,886.50 and 111,377 is: 167,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,886.50 : 111,377 = 111,377 : x
  2. Step 2: Convert to fraction form
    73,886.50/111,377 = 111,377/x
  3. Step 3: Cross multiply
    73,886.50x = 111,377 × 111,377
  4. Step 4: Simplify right side
    73,886.50x = 12,404,836,129
  5. Step 5: Solve for x
    x = 12,404,836,129/73,886.50
  6. Step 6: Final answer
    x = 167,890.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.