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Finding the Third Proportional to 53,347 and 116,536

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Solution

The third proportional to 53,347 and 116,536 is: 254,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,347 : 116,536 = 116,536 : x
  2. Step 2: Convert to fraction form
    53,347/116,536 = 116,536/x
  3. Step 3: Cross multiply
    53,347x = 116,536 × 116,536
  4. Step 4: Simplify right side
    53,347x = 13,580,639,296
  5. Step 5: Solve for x
    x = 13,580,639,296/53,347
  6. Step 6: Final answer
    x = 254,571.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.