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Finding the Third Proportional to 66,054 and 145,230

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Solution

The third proportional to 66,054 and 145,230 is: 319,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,054 : 145,230 = 145,230 : x
  2. Step 2: Convert to fraction form
    66,054/145,230 = 145,230/x
  3. Step 3: Cross multiply
    66,054x = 145,230 × 145,230
  4. Step 4: Simplify right side
    66,054x = 21,091,752,900
  5. Step 5: Solve for x
    x = 21,091,752,900/66,054
  6. Step 6: Final answer
    x = 319,310.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.