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Finding the Third Proportional to 53,709.96 and 118,145.18

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Solution

The third proportional to 53,709.96 and 118,145.18 is: 259,882.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,709.96 : 118,145.18 = 118,145.18 : x
  2. Step 2: Convert to fraction form
    53,709.96/118,145.18 = 118,145.18/x
  3. Step 3: Cross multiply
    53,709.96x = 118,145.18 × 118,145.18
  4. Step 4: Simplify right side
    53,709.96x = 13,958,283,483.39
  5. Step 5: Solve for x
    x = 13,958,283,483.39/53,709.96
  6. Step 6: Final answer
    x = 259,882.58

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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.