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Finding the Third Proportional to 136,828 and 207,054

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Solution

The third proportional to 136,828 and 207,054 is: 313,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,828 : 207,054 = 207,054 : x
  2. Step 2: Convert to fraction form
    136,828/207,054 = 207,054/x
  3. Step 3: Cross multiply
    136,828x = 207,054 × 207,054
  4. Step 4: Simplify right side
    136,828x = 42,871,358,916
  5. Step 5: Solve for x
    x = 42,871,358,916/136,828
  6. Step 6: Final answer
    x = 313,323.00

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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.