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Finding the Third Proportional to 89,001 and 120,136.50

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Solution

The third proportional to 89,001 and 120,136.50 is: 162,164.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,001 : 120,136.50 = 120,136.50 : x
  2. Step 2: Convert to fraction form
    89,001/120,136.50 = 120,136.50/x
  3. Step 3: Cross multiply
    89,001x = 120,136.50 × 120,136.50
  4. Step 4: Simplify right side
    89,001x = 14,432,778,632.25
  5. Step 5: Solve for x
    x = 14,432,778,632.25/89,001
  6. Step 6: Final answer
    x = 162,164.23

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.