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Finding the Third Proportional to 53,781.75 and 118,287

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Solution

The third proportional to 53,781.75 and 118,287 is: 260,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,781.75 : 118,287 = 118,287 : x
  2. Step 2: Convert to fraction form
    53,781.75/118,287 = 118,287/x
  3. Step 3: Cross multiply
    53,781.75x = 118,287 × 118,287
  4. Step 4: Simplify right side
    53,781.75x = 13,991,814,369
  5. Step 5: Solve for x
    x = 13,991,814,369/53,781.75
  6. Step 6: Final answer
    x = 260,159.15

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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.