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Finding the Third Proportional to 123,192 and 265,236

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Solution

The third proportional to 123,192 and 265,236 is: 571,060.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,192 : 265,236 = 265,236 : x
  2. Step 2: Convert to fraction form
    123,192/265,236 = 265,236/x
  3. Step 3: Cross multiply
    123,192x = 265,236 × 265,236
  4. Step 4: Simplify right side
    123,192x = 70,350,135,696
  5. Step 5: Solve for x
    x = 70,350,135,696/123,192
  6. Step 6: Final answer
    x = 571,060.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.