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Finding the Third Proportional to 53,615.67 and 114,350.48

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Solution

The third proportional to 53,615.67 and 114,350.48 is: 243,884.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,615.67 : 114,350.48 = 114,350.48 : x
  2. Step 2: Convert to fraction form
    53,615.67/114,350.48 = 114,350.48/x
  3. Step 3: Cross multiply
    53,615.67x = 114,350.48 × 114,350.48
  4. Step 4: Simplify right side
    53,615.67x = 13,076,033,276.80
  5. Step 5: Solve for x
    x = 13,076,033,276.80/53,615.67
  6. Step 6: Final answer
    x = 243,884.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.