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Finding the Third Proportional to 53,378 and 113,320

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Solution

The third proportional to 53,378 and 113,320 is: 240,575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,378 : 113,320 = 113,320 : x
  2. Step 2: Convert to fraction form
    53,378/113,320 = 113,320/x
  3. Step 3: Cross multiply
    53,378x = 113,320 × 113,320
  4. Step 4: Simplify right side
    53,378x = 12,841,422,400
  5. Step 5: Solve for x
    x = 12,841,422,400/53,378
  6. Step 6: Final answer
    x = 240,575.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.