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Finding the Third Proportional to 65,003 and 99,869

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Solution

The third proportional to 65,003 and 99,869 is: 153,436.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,003 : 99,869 = 99,869 : x
  2. Step 2: Convert to fraction form
    65,003/99,869 = 99,869/x
  3. Step 3: Cross multiply
    65,003x = 99,869 × 99,869
  4. Step 4: Simplify right side
    65,003x = 9,973,817,161
  5. Step 5: Solve for x
    x = 9,973,817,161/65,003
  6. Step 6: Final answer
    x = 153,436.26

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.