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Finding the Third Proportional to 53,712 and 118,150

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Solution

The third proportional to 53,712 and 118,150 is: 259,893.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,712 : 118,150 = 118,150 : x
  2. Step 2: Convert to fraction form
    53,712/118,150 = 118,150/x
  3. Step 3: Cross multiply
    53,712x = 118,150 × 118,150
  4. Step 4: Simplify right side
    53,712x = 13,959,422,500
  5. Step 5: Solve for x
    x = 13,959,422,500/53,712
  6. Step 6: Final answer
    x = 259,893.93

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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.