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Finding the Third Proportional to 65,672 and 140,560

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Solution

The third proportional to 65,672 and 140,560 is: 300,845.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,672 : 140,560 = 140,560 : x
  2. Step 2: Convert to fraction form
    65,672/140,560 = 140,560/x
  3. Step 3: Cross multiply
    65,672x = 140,560 × 140,560
  4. Step 4: Simplify right side
    65,672x = 19,757,113,600
  5. Step 5: Solve for x
    x = 19,757,113,600/65,672
  6. Step 6: Final answer
    x = 300,845.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.