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Finding the Third Proportional to 65,504 and 140,347

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Solution

The third proportional to 65,504 and 140,347 is: 300,703.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,504 : 140,347 = 140,347 : x
  2. Step 2: Convert to fraction form
    65,504/140,347 = 140,347/x
  3. Step 3: Cross multiply
    65,504x = 140,347 × 140,347
  4. Step 4: Simplify right side
    65,504x = 19,697,280,409
  5. Step 5: Solve for x
    x = 19,697,280,409/65,504
  6. Step 6: Final answer
    x = 300,703.47

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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.