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Finding the Third Proportional to 100,062 and 142,431.75

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Solution

The third proportional to 100,062 and 142,431.75 is: 202,742.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,062 : 142,431.75 = 142,431.75 : x
  2. Step 2: Convert to fraction form
    100,062/142,431.75 = 142,431.75/x
  3. Step 3: Cross multiply
    100,062x = 142,431.75 × 142,431.75
  4. Step 4: Simplify right side
    100,062x = 20,286,803,408.06
  5. Step 5: Solve for x
    x = 20,286,803,408.06/100,062
  6. Step 6: Final answer
    x = 202,742.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.