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Finding the Third Proportional to 53,303 and 114,672

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Solution

The third proportional to 53,303 and 114,672 is: 246,696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,303 : 114,672 = 114,672 : x
  2. Step 2: Convert to fraction form
    53,303/114,672 = 114,672/x
  3. Step 3: Cross multiply
    53,303x = 114,672 × 114,672
  4. Step 4: Simplify right side
    53,303x = 13,149,667,584
  5. Step 5: Solve for x
    x = 13,149,667,584/53,303
  6. Step 6: Final answer
    x = 246,696.58

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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.