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Finding the Third Proportional to 145,121 and 219,873

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Solution

The third proportional to 145,121 and 219,873 is: 333,129.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,121 : 219,873 = 219,873 : x
  2. Step 2: Convert to fraction form
    145,121/219,873 = 219,873/x
  3. Step 3: Cross multiply
    145,121x = 219,873 × 219,873
  4. Step 4: Simplify right side
    145,121x = 48,344,136,129
  5. Step 5: Solve for x
    x = 48,344,136,129/145,121
  6. Step 6: Final answer
    x = 333,129.84

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.