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Finding the Third Proportional to 65,349 and 96,109

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Solution

The third proportional to 65,349 and 96,109 is: 141,347.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,349 : 96,109 = 96,109 : x
  2. Step 2: Convert to fraction form
    65,349/96,109 = 96,109/x
  3. Step 3: Cross multiply
    65,349x = 96,109 × 96,109
  4. Step 4: Simplify right side
    65,349x = 9,236,939,881
  5. Step 5: Solve for x
    x = 9,236,939,881/65,349
  6. Step 6: Final answer
    x = 141,347.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.