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Finding the Third Proportional to 53,653.22 and 115,609.78

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Solution

The third proportional to 53,653.22 and 115,609.78 is: 249,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,653.22 : 115,609.78 = 115,609.78 : x
  2. Step 2: Convert to fraction form
    53,653.22/115,609.78 = 115,609.78/x
  3. Step 3: Cross multiply
    53,653.22x = 115,609.78 × 115,609.78
  4. Step 4: Simplify right side
    53,653.22x = 13,365,621,520.67
  5. Step 5: Solve for x
    x = 13,365,621,520.67/53,653.22
  6. Step 6: Final answer
    x = 249,111.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.