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Finding the Third Proportional to 30,364 and 65,263

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Solution

The third proportional to 30,364 and 65,263 is: 140,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,364 : 65,263 = 65,263 : x
  2. Step 2: Convert to fraction form
    30,364/65,263 = 65,263/x
  3. Step 3: Cross multiply
    30,364x = 65,263 × 65,263
  4. Step 4: Simplify right side
    30,364x = 4,259,259,169
  5. Step 5: Solve for x
    x = 4,259,259,169/30,364
  6. Step 6: Final answer
    x = 140,273.32

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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.