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Finding the Third Proportional to 56,165.27 and 122,172.05

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Solution

The third proportional to 56,165.27 and 122,172.05 is: 265,751.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,165.27 : 122,172.05 = 122,172.05 : x
  2. Step 2: Convert to fraction form
    56,165.27/122,172.05 = 122,172.05/x
  3. Step 3: Cross multiply
    56,165.27x = 122,172.05 × 122,172.05
  4. Step 4: Simplify right side
    56,165.27x = 14,926,009,037.63
  5. Step 5: Solve for x
    x = 14,926,009,037.63/56,165.27
  6. Step 6: Final answer
    x = 265,751.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.