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Finding the Third Proportional to 84,969 and 173,623.50

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Solution

The third proportional to 84,969 and 173,623.50 is: 354,777.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,969 : 173,623.50 = 173,623.50 : x
  2. Step 2: Convert to fraction form
    84,969/173,623.50 = 173,623.50/x
  3. Step 3: Cross multiply
    84,969x = 173,623.50 × 173,623.50
  4. Step 4: Simplify right side
    84,969x = 30,145,119,752.25
  5. Step 5: Solve for x
    x = 30,145,119,752.25/84,969
  6. Step 6: Final answer
    x = 354,777.86

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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.