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Finding the Third Proportional to 115,621.50 and 172,648.50

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Solution

The third proportional to 115,621.50 and 172,648.50 is: 257,802.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,621.50 : 172,648.50 = 172,648.50 : x
  2. Step 2: Convert to fraction form
    115,621.50/172,648.50 = 172,648.50/x
  3. Step 3: Cross multiply
    115,621.50x = 172,648.50 × 172,648.50
  4. Step 4: Simplify right side
    115,621.50x = 29,807,504,552.25
  5. Step 5: Solve for x
    x = 29,807,504,552.25/115,621.50
  6. Step 6: Final answer
    x = 257,802.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.