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Finding the Third Proportional to 123,320 and 265,054

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Solution

The third proportional to 123,320 and 265,054 is: 569,685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,320 : 265,054 = 265,054 : x
  2. Step 2: Convert to fraction form
    123,320/265,054 = 265,054/x
  3. Step 3: Cross multiply
    123,320x = 265,054 × 265,054
  4. Step 4: Simplify right side
    123,320x = 70,253,622,916
  5. Step 5: Solve for x
    x = 70,253,622,916/123,320
  6. Step 6: Final answer
    x = 569,685.56

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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.