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Finding the Third Proportional to 136,804 and 207,024

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Solution

The third proportional to 136,804 and 207,024 is: 313,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,804 : 207,024 = 207,024 : x
  2. Step 2: Convert to fraction form
    136,804/207,024 = 207,024/x
  3. Step 3: Cross multiply
    136,804x = 207,024 × 207,024
  4. Step 4: Simplify right side
    136,804x = 42,858,936,576
  5. Step 5: Solve for x
    x = 42,858,936,576/136,804
  6. Step 6: Final answer
    x = 313,287.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.