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Finding the Third Proportional to 53,532 and 114,480

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Solution

The third proportional to 53,532 and 114,480 is: 244,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,532 : 114,480 = 114,480 : x
  2. Step 2: Convert to fraction form
    53,532/114,480 = 114,480/x
  3. Step 3: Cross multiply
    53,532x = 114,480 × 114,480
  4. Step 4: Simplify right side
    53,532x = 13,105,670,400
  5. Step 5: Solve for x
    x = 13,105,670,400/53,532
  6. Step 6: Final answer
    x = 244,819.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.