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Finding the Third Proportional to 89,391 and 123,136.50

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Solution

The third proportional to 89,391 and 123,136.50 is: 169,621.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,391 : 123,136.50 = 123,136.50 : x
  2. Step 2: Convert to fraction form
    89,391/123,136.50 = 123,136.50/x
  3. Step 3: Cross multiply
    89,391x = 123,136.50 × 123,136.50
  4. Step 4: Simplify right side
    89,391x = 15,162,597,632.25
  5. Step 5: Solve for x
    x = 15,162,597,632.25/89,391
  6. Step 6: Final answer
    x = 169,621.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.