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Finding the Third Proportional to 73,120 and 110,580

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Solution

The third proportional to 73,120 and 110,580 is: 167,231.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,120 : 110,580 = 110,580 : x
  2. Step 2: Convert to fraction form
    73,120/110,580 = 110,580/x
  3. Step 3: Cross multiply
    73,120x = 110,580 × 110,580
  4. Step 4: Simplify right side
    73,120x = 12,227,936,400
  5. Step 5: Solve for x
    x = 12,227,936,400/73,120
  6. Step 6: Final answer
    x = 167,231.08

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Why These Related Problems?

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