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Finding the Third Proportional to 75,821.06 and 116,146.41

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Solution

The third proportional to 75,821.06 and 116,146.41 is: 177,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,821.06 : 116,146.41 = 116,146.41 : x
  2. Step 2: Convert to fraction form
    75,821.06/116,146.41 = 116,146.41/x
  3. Step 3: Cross multiply
    75,821.06x = 116,146.41 × 116,146.41
  4. Step 4: Simplify right side
    75,821.06x = 13,489,987,684.79
  5. Step 5: Solve for x
    x = 13,489,987,684.79/75,821.06
  6. Step 6: Final answer
    x = 177,918.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.