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Finding the Third Proportional to 81,723 and 114,588

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Solution

The third proportional to 81,723 and 114,588 is: 160,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,723 : 114,588 = 114,588 : x
  2. Step 2: Convert to fraction form
    81,723/114,588 = 114,588/x
  3. Step 3: Cross multiply
    81,723x = 114,588 × 114,588
  4. Step 4: Simplify right side
    81,723x = 13,130,409,744
  5. Step 5: Solve for x
    x = 13,130,409,744/81,723
  6. Step 6: Final answer
    x = 160,669.70

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.