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Finding the Third Proportional to 122,024 and 266,128

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Solution

The third proportional to 122,024 and 266,128 is: 580,411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,024 : 266,128 = 266,128 : x
  2. Step 2: Convert to fraction form
    122,024/266,128 = 266,128/x
  3. Step 3: Cross multiply
    122,024x = 266,128 × 266,128
  4. Step 4: Simplify right side
    122,024x = 70,824,112,384
  5. Step 5: Solve for x
    x = 70,824,112,384/122,024
  6. Step 6: Final answer
    x = 580,411.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.