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Finding the Third Proportional to 89,639 and 191,054

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Solution

The third proportional to 89,639 and 191,054 is: 407,207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,639 : 191,054 = 191,054 : x
  2. Step 2: Convert to fraction form
    89,639/191,054 = 191,054/x
  3. Step 3: Cross multiply
    89,639x = 191,054 × 191,054
  4. Step 4: Simplify right side
    89,639x = 36,501,630,916
  5. Step 5: Solve for x
    x = 36,501,630,916/89,639
  6. Step 6: Final answer
    x = 407,207.03

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.