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Finding the Third Proportional to 106,564.50 and 153,954

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Solution

The third proportional to 106,564.50 and 153,954 is: 222,417.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,564.50 : 153,954 = 153,954 : x
  2. Step 2: Convert to fraction form
    106,564.50/153,954 = 153,954/x
  3. Step 3: Cross multiply
    106,564.50x = 153,954 × 153,954
  4. Step 4: Simplify right side
    106,564.50x = 23,701,834,116
  5. Step 5: Solve for x
    x = 23,701,834,116/106,564.50
  6. Step 6: Final answer
    x = 222,417.73

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.