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Finding the Third Proportional to 106,644.75 and 161,101.03

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Solution

The third proportional to 106,644.75 and 161,101.03 is: 243,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,644.75 : 161,101.03 = 161,101.03 : x
  2. Step 2: Convert to fraction form
    106,644.75/161,101.03 = 161,101.03/x
  3. Step 3: Cross multiply
    106,644.75x = 161,101.03 × 161,101.03
  4. Step 4: Simplify right side
    106,644.75x = 25,953,542,269.81
  5. Step 5: Solve for x
    x = 25,953,542,269.81/106,644.75
  6. Step 6: Final answer
    x = 243,364.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.