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Finding the Third Proportional to 92,336 and 123,228

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Solution

The third proportional to 92,336 and 123,228 is: 164,455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,336 : 123,228 = 123,228 : x
  2. Step 2: Convert to fraction form
    92,336/123,228 = 123,228/x
  3. Step 3: Cross multiply
    92,336x = 123,228 × 123,228
  4. Step 4: Simplify right side
    92,336x = 15,185,139,984
  5. Step 5: Solve for x
    x = 15,185,139,984/92,336
  6. Step 6: Final answer
    x = 164,455.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.