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Finding the Third Proportional to 95,076 and 166,823

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Solution

The third proportional to 95,076 and 166,823 is: 292,712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,076 : 166,823 = 166,823 : x
  2. Step 2: Convert to fraction form
    95,076/166,823 = 166,823/x
  3. Step 3: Cross multiply
    95,076x = 166,823 × 166,823
  4. Step 4: Simplify right side
    95,076x = 27,829,913,329
  5. Step 5: Solve for x
    x = 27,829,913,329/95,076
  6. Step 6: Final answer
    x = 292,712.29

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Why These Related Problems?

These problems maintain the same ratio (1.75) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.