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Finding the Third Proportional to 53,772.75 and 118,130.06

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Solution

The third proportional to 53,772.75 and 118,130.06 is: 259,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,772.75 : 118,130.06 = 118,130.06 : x
  2. Step 2: Convert to fraction form
    53,772.75/118,130.06 = 118,130.06/x
  3. Step 3: Cross multiply
    53,772.75x = 118,130.06 × 118,130.06
  4. Step 4: Simplify right side
    53,772.75x = 13,954,711,666.25
  5. Step 5: Solve for x
    x = 13,954,711,666.25/53,772.75
  6. Step 6: Final answer
    x = 259,512.70

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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.