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Finding the Third Proportional to 61,530 and 144,873

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Solution

The third proportional to 61,530 and 144,873 is: 341,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,530 : 144,873 = 144,873 : x
  2. Step 2: Convert to fraction form
    61,530/144,873 = 144,873/x
  3. Step 3: Cross multiply
    61,530x = 144,873 × 144,873
  4. Step 4: Simplify right side
    61,530x = 20,988,186,129
  5. Step 5: Solve for x
    x = 20,988,186,129/61,530
  6. Step 6: Final answer
    x = 341,104.93

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.