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Finding the Third Proportional to 140,641 and 187,873

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Solution

The third proportional to 140,641 and 187,873 is: 250,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,641 : 187,873 = 187,873 : x
  2. Step 2: Convert to fraction form
    140,641/187,873 = 187,873/x
  3. Step 3: Cross multiply
    140,641x = 187,873 × 187,873
  4. Step 4: Simplify right side
    140,641x = 35,296,264,129
  5. Step 5: Solve for x
    x = 35,296,264,129/140,641
  6. Step 6: Final answer
    x = 250,967.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.