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Finding the Third Proportional to 65,349 and 141,763

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Solution

The third proportional to 65,349 and 141,763 is: 307,529.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,349 : 141,763 = 141,763 : x
  2. Step 2: Convert to fraction form
    65,349/141,763 = 141,763/x
  3. Step 3: Cross multiply
    65,349x = 141,763 × 141,763
  4. Step 4: Simplify right side
    65,349x = 20,096,748,169
  5. Step 5: Solve for x
    x = 20,096,748,169/65,349
  6. Step 6: Final answer
    x = 307,529.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.