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Finding the Third Proportional to 89,309 and 119,136

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Solution

The third proportional to 89,309 and 119,136 is: 158,924.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,309 : 119,136 = 119,136 : x
  2. Step 2: Convert to fraction form
    89,309/119,136 = 119,136/x
  3. Step 3: Cross multiply
    89,309x = 119,136 × 119,136
  4. Step 4: Simplify right side
    89,309x = 14,193,386,496
  5. Step 5: Solve for x
    x = 14,193,386,496/89,309
  6. Step 6: Final answer
    x = 158,924.48

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.