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Finding the Third Proportional to 89,152 and 185,775

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Solution

The third proportional to 89,152 and 185,775 is: 387,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,152 : 185,775 = 185,775 : x
  2. Step 2: Convert to fraction form
    89,152/185,775 = 185,775/x
  3. Step 3: Cross multiply
    89,152x = 185,775 × 185,775
  4. Step 4: Simplify right side
    89,152x = 34,512,350,625
  5. Step 5: Solve for x
    x = 34,512,350,625/89,152
  6. Step 6: Final answer
    x = 387,118.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.