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Finding the Third Proportional to 92,102 and 165,248

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Solution

The third proportional to 92,102 and 165,248 is: 296,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,102 : 165,248 = 165,248 : x
  2. Step 2: Convert to fraction form
    92,102/165,248 = 165,248/x
  3. Step 3: Cross multiply
    92,102x = 165,248 × 165,248
  4. Step 4: Simplify right side
    92,102x = 27,306,901,504
  5. Step 5: Solve for x
    x = 27,306,901,504/92,102
  6. Step 6: Final answer
    x = 296,485.43

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.