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Finding the Third Proportional to 72,804 and 103,131

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Solution

The third proportional to 72,804 and 103,131 is: 146,090.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,804 : 103,131 = 103,131 : x
  2. Step 2: Convert to fraction form
    72,804/103,131 = 103,131/x
  3. Step 3: Cross multiply
    72,804x = 103,131 × 103,131
  4. Step 4: Simplify right side
    72,804x = 10,636,003,161
  5. Step 5: Solve for x
    x = 10,636,003,161/72,804
  6. Step 6: Final answer
    x = 146,090.92

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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.