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Finding the Third Proportional to 69,752 and 151,096

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Solution

The third proportional to 69,752 and 151,096 is: 327,302.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,752 : 151,096 = 151,096 : x
  2. Step 2: Convert to fraction form
    69,752/151,096 = 151,096/x
  3. Step 3: Cross multiply
    69,752x = 151,096 × 151,096
  4. Step 4: Simplify right side
    69,752x = 22,830,001,216
  5. Step 5: Solve for x
    x = 22,830,001,216/69,752
  6. Step 6: Final answer
    x = 327,302.46

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.