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Finding the Third Proportional to 65,136 and 97,859

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Solution

The third proportional to 65,136 and 97,859 is: 147,021.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,136 : 97,859 = 97,859 : x
  2. Step 2: Convert to fraction form
    65,136/97,859 = 97,859/x
  3. Step 3: Cross multiply
    65,136x = 97,859 × 97,859
  4. Step 4: Simplify right side
    65,136x = 9,576,383,881
  5. Step 5: Solve for x
    x = 9,576,383,881/65,136
  6. Step 6: Final answer
    x = 147,021.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.