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Finding the Third Proportional to 85,767.75 and 122,536.13

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Solution

The third proportional to 85,767.75 and 122,536.13 is: 175,066.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,767.75 : 122,536.13 = 122,536.13 : x
  2. Step 2: Convert to fraction form
    85,767.75/122,536.13 = 122,536.13/x
  3. Step 3: Cross multiply
    85,767.75x = 122,536.13 × 122,536.13
  4. Step 4: Simplify right side
    85,767.75x = 15,015,101,930.02
  5. Step 5: Solve for x
    x = 15,015,101,930.02/85,767.75
  6. Step 6: Final answer
    x = 175,066.99

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.