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Finding the Third Proportional to 59,219.86 and 121,207.64

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Solution

The third proportional to 59,219.86 and 121,207.64 is: 248,080.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,219.86 : 121,207.64 = 121,207.64 : x
  2. Step 2: Convert to fraction form
    59,219.86/121,207.64 = 121,207.64/x
  3. Step 3: Cross multiply
    59,219.86x = 121,207.64 × 121,207.64
  4. Step 4: Simplify right side
    59,219.86x = 14,691,292,145.88
  5. Step 5: Solve for x
    x = 14,691,292,145.88/59,219.86
  6. Step 6: Final answer
    x = 248,080.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.