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Finding the Third Proportional to 56,966.25 and 122,697.38

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Solution

The third proportional to 56,966.25 and 122,697.38 is: 264,273.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,966.25 : 122,697.38 = 122,697.38 : x
  2. Step 2: Convert to fraction form
    56,966.25/122,697.38 = 122,697.38/x
  3. Step 3: Cross multiply
    56,966.25x = 122,697.38 × 122,697.38
  4. Step 4: Simplify right side
    56,966.25x = 15,054,645,831.89
  5. Step 5: Solve for x
    x = 15,054,645,831.89/56,966.25
  6. Step 6: Final answer
    x = 264,273.07

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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.