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Finding the Third Proportional to 64,791 and 99,954

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Solution

The third proportional to 64,791 and 99,954 is: 154,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,791 : 99,954 = 99,954 : x
  2. Step 2: Convert to fraction form
    64,791/99,954 = 99,954/x
  3. Step 3: Cross multiply
    64,791x = 99,954 × 99,954
  4. Step 4: Simplify right side
    64,791x = 9,990,802,116
  5. Step 5: Solve for x
    x = 9,990,802,116/64,791
  6. Step 6: Final answer
    x = 154,200.46

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Why These Related Problems?

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