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Finding the Third Proportional to 91,017 and 138,361.50

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Solution

The third proportional to 91,017 and 138,361.50 is: 210,333.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,017 : 138,361.50 = 138,361.50 : x
  2. Step 2: Convert to fraction form
    91,017/138,361.50 = 138,361.50/x
  3. Step 3: Cross multiply
    91,017x = 138,361.50 × 138,361.50
  4. Step 4: Simplify right side
    91,017x = 19,143,904,682.25
  5. Step 5: Solve for x
    x = 19,143,904,682.25/91,017
  6. Step 6: Final answer
    x = 210,333.29

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.