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Finding the Third Proportional to 57,722.63 and 121,699.13

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Solution

The third proportional to 57,722.63 and 121,699.13 is: 256,583.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,722.63 : 121,699.13 = 121,699.13 : x
  2. Step 2: Convert to fraction form
    57,722.63/121,699.13 = 121,699.13/x
  3. Step 3: Cross multiply
    57,722.63x = 121,699.13 × 121,699.13
  4. Step 4: Simplify right side
    57,722.63x = 14,810,677,025.77
  5. Step 5: Solve for x
    x = 14,810,677,025.77/57,722.63
  6. Step 6: Final answer
    x = 256,583.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.