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Finding the Third Proportional to 65,089 and 134,065

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Solution

The third proportional to 65,089 and 134,065 is: 276,136.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,089 : 134,065 = 134,065 : x
  2. Step 2: Convert to fraction form
    65,089/134,065 = 134,065/x
  3. Step 3: Cross multiply
    65,089x = 134,065 × 134,065
  4. Step 4: Simplify right side
    65,089x = 17,973,424,225
  5. Step 5: Solve for x
    x = 17,973,424,225/65,089
  6. Step 6: Final answer
    x = 276,136.12

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.