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Finding the Third Proportional to 65,954 and 99,159

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Solution

The third proportional to 65,954 and 99,159 is: 149,081.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,954 : 99,159 = 99,159 : x
  2. Step 2: Convert to fraction form
    65,954/99,159 = 99,159/x
  3. Step 3: Cross multiply
    65,954x = 99,159 × 99,159
  4. Step 4: Simplify right side
    65,954x = 9,832,507,281
  5. Step 5: Solve for x
    x = 9,832,507,281/65,954
  6. Step 6: Final answer
    x = 149,081.29

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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.