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Finding the Third Proportional to 74,174.06 and 117,928.41

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Solution

The third proportional to 74,174.06 and 117,928.41 is: 187,492.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,174.06 : 117,928.41 = 117,928.41 : x
  2. Step 2: Convert to fraction form
    74,174.06/117,928.41 = 117,928.41/x
  3. Step 3: Cross multiply
    74,174.06x = 117,928.41 × 117,928.41
  4. Step 4: Simplify right side
    74,174.06x = 13,907,109,000.67
  5. Step 5: Solve for x
    x = 13,907,109,000.67/74,174.06
  6. Step 6: Final answer
    x = 187,492.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.