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Finding the Third Proportional to 53,393.53 and 117,445.31

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Solution

The third proportional to 53,393.53 and 117,445.31 is: 258,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,393.53 : 117,445.31 = 117,445.31 : x
  2. Step 2: Convert to fraction form
    53,393.53/117,445.31 = 117,445.31/x
  3. Step 3: Cross multiply
    53,393.53x = 117,445.31 × 117,445.31
  4. Step 4: Simplify right side
    53,393.53x = 13,793,401,428.22
  5. Step 5: Solve for x
    x = 13,793,401,428.22/53,393.53
  6. Step 6: Final answer
    x = 258,334.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.