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Finding the Third Proportional to 77,544 and 172,624.50

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Solution

The third proportional to 77,544 and 172,624.50 is: 384,287.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,544 : 172,624.50 = 172,624.50 : x
  2. Step 2: Convert to fraction form
    77,544/172,624.50 = 172,624.50/x
  3. Step 3: Cross multiply
    77,544x = 172,624.50 × 172,624.50
  4. Step 4: Simplify right side
    77,544x = 29,799,218,000.25
  5. Step 5: Solve for x
    x = 29,799,218,000.25/77,544
  6. Step 6: Final answer
    x = 384,287.86

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