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Finding the Third Proportional to 65,833 and 142,015

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Solution

The third proportional to 65,833 and 142,015 is: 306,354.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,833 : 142,015 = 142,015 : x
  2. Step 2: Convert to fraction form
    65,833/142,015 = 142,015/x
  3. Step 3: Cross multiply
    65,833x = 142,015 × 142,015
  4. Step 4: Simplify right side
    65,833x = 20,168,260,225
  5. Step 5: Solve for x
    x = 20,168,260,225/65,833
  6. Step 6: Final answer
    x = 306,354.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.