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Finding the Third Proportional to 42,435 and 89,136

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Solution

The third proportional to 42,435 and 89,136 is: 187,232.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,435 : 89,136 = 89,136 : x
  2. Step 2: Convert to fraction form
    42,435/89,136 = 89,136/x
  3. Step 3: Cross multiply
    42,435x = 89,136 × 89,136
  4. Step 4: Simplify right side
    42,435x = 7,945,226,496
  5. Step 5: Solve for x
    x = 7,945,226,496/42,435
  6. Step 6: Final answer
    x = 187,232.86

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.