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Finding the Third Proportional to 74,664 and 115,608

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Solution

The third proportional to 74,664 and 115,608 is: 179,004.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,664 : 115,608 = 115,608 : x
  2. Step 2: Convert to fraction form
    74,664/115,608 = 115,608/x
  3. Step 3: Cross multiply
    74,664x = 115,608 × 115,608
  4. Step 4: Simplify right side
    74,664x = 13,365,209,664
  5. Step 5: Solve for x
    x = 13,365,209,664/74,664
  6. Step 6: Final answer
    x = 179,004.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.