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Finding the Third Proportional to 65,262 and 143,130

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Solution

The third proportional to 65,262 and 143,130 is: 313,906.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,262 : 143,130 = 143,130 : x
  2. Step 2: Convert to fraction form
    65,262/143,130 = 143,130/x
  3. Step 3: Cross multiply
    65,262x = 143,130 × 143,130
  4. Step 4: Simplify right side
    65,262x = 20,486,196,900
  5. Step 5: Solve for x
    x = 20,486,196,900/65,262
  6. Step 6: Final answer
    x = 313,906.97

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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.