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Finding the Third Proportional to 53,792.20 and 118,200.47

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Solution

The third proportional to 53,792.20 and 118,200.47 is: 259,728.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,792.20 : 118,200.47 = 118,200.47 : x
  2. Step 2: Convert to fraction form
    53,792.20/118,200.47 = 118,200.47/x
  3. Step 3: Cross multiply
    53,792.20x = 118,200.47 × 118,200.47
  4. Step 4: Simplify right side
    53,792.20x = 13,971,350,812.72
  5. Step 5: Solve for x
    x = 13,971,350,812.72/53,792.20
  6. Step 6: Final answer
    x = 259,728.18

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Why These Related Problems?

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