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Finding the Third Proportional to 81,583.50 and 172,954.50

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Solution

The third proportional to 81,583.50 and 172,954.50 is: 366,658.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,583.50 : 172,954.50 = 172,954.50 : x
  2. Step 2: Convert to fraction form
    81,583.50/172,954.50 = 172,954.50/x
  3. Step 3: Cross multiply
    81,583.50x = 172,954.50 × 172,954.50
  4. Step 4: Simplify right side
    81,583.50x = 29,913,259,070.25
  5. Step 5: Solve for x
    x = 29,913,259,070.25/81,583.50
  6. Step 6: Final answer
    x = 366,658.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.