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Finding the Third Proportional to 65,260 and 144,008

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Solution

The third proportional to 65,260 and 144,008 is: 317,779.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,260 : 144,008 = 144,008 : x
  2. Step 2: Convert to fraction form
    65,260/144,008 = 144,008/x
  3. Step 3: Cross multiply
    65,260x = 144,008 × 144,008
  4. Step 4: Simplify right side
    65,260x = 20,738,304,064
  5. Step 5: Solve for x
    x = 20,738,304,064/65,260
  6. Step 6: Final answer
    x = 317,779.71

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.