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Finding the Third Proportional to 128,172.25 and 276,066.25

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Solution

The third proportional to 128,172.25 and 276,066.25 is: 594,610.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,172.25 : 276,066.25 = 276,066.25 : x
  2. Step 2: Convert to fraction form
    128,172.25/276,066.25 = 276,066.25/x
  3. Step 3: Cross multiply
    128,172.25x = 276,066.25 × 276,066.25
  4. Step 4: Simplify right side
    128,172.25x = 76,212,574,389.06
  5. Step 5: Solve for x
    x = 76,212,574,389.06/128,172.25
  6. Step 6: Final answer
    x = 594,610.57

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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.