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Finding the Third Proportional to 134,723 and 187,321

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Solution

The third proportional to 134,723 and 187,321 is: 260,454.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,723 : 187,321 = 187,321 : x
  2. Step 2: Convert to fraction form
    134,723/187,321 = 187,321/x
  3. Step 3: Cross multiply
    134,723x = 187,321 × 187,321
  4. Step 4: Simplify right side
    134,723x = 35,089,157,041
  5. Step 5: Solve for x
    x = 35,089,157,041/134,723
  6. Step 6: Final answer
    x = 260,454.10

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.