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Finding the Third Proportional to 43,007 and 65,159

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Solution

The third proportional to 43,007 and 65,159 is: 98,721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,007 : 65,159 = 65,159 : x
  2. Step 2: Convert to fraction form
    43,007/65,159 = 65,159/x
  3. Step 3: Cross multiply
    43,007x = 65,159 × 65,159
  4. Step 4: Simplify right side
    43,007x = 4,245,695,281
  5. Step 5: Solve for x
    x = 4,245,695,281/43,007
  6. Step 6: Final answer
    x = 98,721.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.