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Finding the Third Proportional to 56,720.25 and 120,892.50

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Solution

The third proportional to 56,720.25 and 120,892.50 is: 257,668.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,720.25 : 120,892.50 = 120,892.50 : x
  2. Step 2: Convert to fraction form
    56,720.25/120,892.50 = 120,892.50/x
  3. Step 3: Cross multiply
    56,720.25x = 120,892.50 × 120,892.50
  4. Step 4: Simplify right side
    56,720.25x = 14,614,996,556.25
  5. Step 5: Solve for x
    x = 14,614,996,556.25/56,720.25
  6. Step 6: Final answer
    x = 257,668.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.