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Finding the Third Proportional to 98,878.50 and 153,234

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Solution

The third proportional to 98,878.50 and 153,234 is: 237,469.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,878.50 : 153,234 = 153,234 : x
  2. Step 2: Convert to fraction form
    98,878.50/153,234 = 153,234/x
  3. Step 3: Cross multiply
    98,878.50x = 153,234 × 153,234
  4. Step 4: Simplify right side
    98,878.50x = 23,480,658,756
  5. Step 5: Solve for x
    x = 23,480,658,756/98,878.50
  6. Step 6: Final answer
    x = 237,469.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.