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Finding the Third Proportional to 78,556.50 and 172,071

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Solution

The third proportional to 78,556.50 and 172,071 is: 376,906.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,556.50 : 172,071 = 172,071 : x
  2. Step 2: Convert to fraction form
    78,556.50/172,071 = 172,071/x
  3. Step 3: Cross multiply
    78,556.50x = 172,071 × 172,071
  4. Step 4: Simplify right side
    78,556.50x = 29,608,429,041
  5. Step 5: Solve for x
    x = 29,608,429,041/78,556.50
  6. Step 6: Final answer
    x = 376,906.16

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.