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Finding the Third Proportional to 124,504 and 266,504

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Solution

The third proportional to 124,504 and 266,504 is: 570,458.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,504 : 266,504 = 266,504 : x
  2. Step 2: Convert to fraction form
    124,504/266,504 = 266,504/x
  3. Step 3: Cross multiply
    124,504x = 266,504 × 266,504
  4. Step 4: Simplify right side
    124,504x = 71,024,382,016
  5. Step 5: Solve for x
    x = 71,024,382,016/124,504
  6. Step 6: Final answer
    x = 570,458.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.