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Finding the Third Proportional to 95,823 and 145,071

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Solution

The third proportional to 95,823 and 145,071 is: 219,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,823 : 145,071 = 145,071 : x
  2. Step 2: Convert to fraction form
    95,823/145,071 = 145,071/x
  3. Step 3: Cross multiply
    95,823x = 145,071 × 145,071
  4. Step 4: Simplify right side
    95,823x = 21,045,595,041
  5. Step 5: Solve for x
    x = 21,045,595,041/95,823
  6. Step 6: Final answer
    x = 219,629.89

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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.