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Finding the Third Proportional to 59,136 and 88,494

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Solution

The third proportional to 59,136 and 88,494 is: 132,426.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,136 : 88,494 = 88,494 : x
  2. Step 2: Convert to fraction form
    59,136/88,494 = 88,494/x
  3. Step 3: Cross multiply
    59,136x = 88,494 × 88,494
  4. Step 4: Simplify right side
    59,136x = 7,831,188,036
  5. Step 5: Solve for x
    x = 7,831,188,036/59,136
  6. Step 6: Final answer
    x = 132,426.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.