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Finding the Third Proportional to 65,387 and 143,293

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Solution

The third proportional to 65,387 and 143,293 is: 314,020.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,387 : 143,293 = 143,293 : x
  2. Step 2: Convert to fraction form
    65,387/143,293 = 143,293/x
  3. Step 3: Cross multiply
    65,387x = 143,293 × 143,293
  4. Step 4: Simplify right side
    65,387x = 20,532,883,849
  5. Step 5: Solve for x
    x = 20,532,883,849/65,387
  6. Step 6: Final answer
    x = 314,020.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.