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Finding the Third Proportional to 88,650 and 205,012

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Solution

The third proportional to 88,650 and 205,012 is: 474,110.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,650 : 205,012 = 205,012 : x
  2. Step 2: Convert to fraction form
    88,650/205,012 = 205,012/x
  3. Step 3: Cross multiply
    88,650x = 205,012 × 205,012
  4. Step 4: Simplify right side
    88,650x = 42,029,920,144
  5. Step 5: Solve for x
    x = 42,029,920,144/88,650
  6. Step 6: Final answer
    x = 474,110.77

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.