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Finding the Third Proportional to 72,188 and 111,100

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Solution

The third proportional to 72,188 and 111,100 is: 170,987.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,188 : 111,100 = 111,100 : x
  2. Step 2: Convert to fraction form
    72,188/111,100 = 111,100/x
  3. Step 3: Cross multiply
    72,188x = 111,100 × 111,100
  4. Step 4: Simplify right side
    72,188x = 12,343,210,000
  5. Step 5: Solve for x
    x = 12,343,210,000/72,188
  6. Step 6: Final answer
    x = 170,987.01

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.