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Finding the Third Proportional to 72,267.19 and 102,723.19

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Solution

The third proportional to 72,267.19 and 102,723.19 is: 146,014.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,267.19 : 102,723.19 = 102,723.19 : x
  2. Step 2: Convert to fraction form
    72,267.19/102,723.19 = 102,723.19/x
  3. Step 3: Cross multiply
    72,267.19x = 102,723.19 × 102,723.19
  4. Step 4: Simplify right side
    72,267.19x = 10,552,053,250.16
  5. Step 5: Solve for x
    x = 10,552,053,250.16/72,267.19
  6. Step 6: Final answer
    x = 146,014.44

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.