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Finding the Third Proportional to 65,828 and 139,501

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Solution

The third proportional to 65,828 and 139,501 is: 295,626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,828 : 139,501 = 139,501 : x
  2. Step 2: Convert to fraction form
    65,828/139,501 = 139,501/x
  3. Step 3: Cross multiply
    65,828x = 139,501 × 139,501
  4. Step 4: Simplify right side
    65,828x = 19,460,529,001
  5. Step 5: Solve for x
    x = 19,460,529,001/65,828
  6. Step 6: Final answer
    x = 295,626.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.