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Finding the Third Proportional to 77,899.50 and 173,835

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Solution

The third proportional to 77,899.50 and 173,835 is: 387,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,899.50 : 173,835 = 173,835 : x
  2. Step 2: Convert to fraction form
    77,899.50/173,835 = 173,835/x
  3. Step 3: Cross multiply
    77,899.50x = 173,835 × 173,835
  4. Step 4: Simplify right side
    77,899.50x = 30,218,607,225
  5. Step 5: Solve for x
    x = 30,218,607,225/77,899.50
  6. Step 6: Final answer
    x = 387,917.86

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.