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Finding the Third Proportional to 53,038 and 114,378

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Solution

The third proportional to 53,038 and 114,378 is: 246,659.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,038 : 114,378 = 114,378 : x
  2. Step 2: Convert to fraction form
    53,038/114,378 = 114,378/x
  3. Step 3: Cross multiply
    53,038x = 114,378 × 114,378
  4. Step 4: Simplify right side
    53,038x = 13,082,326,884
  5. Step 5: Solve for x
    x = 13,082,326,884/53,038
  6. Step 6: Final answer
    x = 246,659.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.