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Finding the Third Proportional to 65,106 and 141,444

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Solution

The third proportional to 65,106 and 141,444 is: 307,289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,106 : 141,444 = 141,444 : x
  2. Step 2: Convert to fraction form
    65,106/141,444 = 141,444/x
  3. Step 3: Cross multiply
    65,106x = 141,444 × 141,444
  4. Step 4: Simplify right side
    65,106x = 20,006,405,136
  5. Step 5: Solve for x
    x = 20,006,405,136/65,106
  6. Step 6: Final answer
    x = 307,289.73

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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.