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Finding the Third Proportional to 68,229.42 and 148,055.77

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Solution

The third proportional to 68,229.42 and 148,055.77 is: 321,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,229.42 : 148,055.77 = 148,055.77 : x
  2. Step 2: Convert to fraction form
    68,229.42/148,055.77 = 148,055.77/x
  3. Step 3: Cross multiply
    68,229.42x = 148,055.77 × 148,055.77
  4. Step 4: Simplify right side
    68,229.42x = 21,920,509,734.80
  5. Step 5: Solve for x
    x = 21,920,509,734.80/68,229.42
  6. Step 6: Final answer
    x = 321,276.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.