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Finding the Third Proportional to 65,810.25 and 103,131

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Solution

The third proportional to 65,810.25 and 103,131 is: 161,616.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,810.25 : 103,131 = 103,131 : x
  2. Step 2: Convert to fraction form
    65,810.25/103,131 = 103,131/x
  3. Step 3: Cross multiply
    65,810.25x = 103,131 × 103,131
  4. Step 4: Simplify right side
    65,810.25x = 10,636,003,161
  5. Step 5: Solve for x
    x = 10,636,003,161/65,810.25
  6. Step 6: Final answer
    x = 161,616.21

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.