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Finding the Third Proportional to 69,085.13 and 101,361.38

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Solution

The third proportional to 69,085.13 and 101,361.38 is: 148,716.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,085.13 : 101,361.38 = 101,361.38 : x
  2. Step 2: Convert to fraction form
    69,085.13/101,361.38 = 101,361.38/x
  3. Step 3: Cross multiply
    69,085.13x = 101,361.38 × 101,361.38
  4. Step 4: Simplify right side
    69,085.13x = 10,274,128,341.89
  5. Step 5: Solve for x
    x = 10,274,128,341.89/69,085.13
  6. Step 6: Final answer
    x = 148,716.94

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.