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Finding the Third Proportional to 44,136 and 90,216

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Solution

The third proportional to 44,136 and 90,216 is: 184,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,136 : 90,216 = 90,216 : x
  2. Step 2: Convert to fraction form
    44,136/90,216 = 90,216/x
  3. Step 3: Cross multiply
    44,136x = 90,216 × 90,216
  4. Step 4: Simplify right side
    44,136x = 8,138,926,656
  5. Step 5: Solve for x
    x = 8,138,926,656/44,136
  6. Step 6: Final answer
    x = 184,405.62

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.