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Finding the Third Proportional to 72,189.98 and 111,104.16

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Solution

The third proportional to 72,189.98 and 111,104.16 is: 170,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,189.98 : 111,104.16 = 111,104.16 : x
  2. Step 2: Convert to fraction form
    72,189.98/111,104.16 = 111,104.16/x
  3. Step 3: Cross multiply
    72,189.98x = 111,104.16 × 111,104.16
  4. Step 4: Simplify right side
    72,189.98x = 12,344,133,536.02
  5. Step 5: Solve for x
    x = 12,344,133,536.02/72,189.98
  6. Step 6: Final answer
    x = 170,995.10

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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.