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Finding the Third Proportional to 53,513.16 and 114,407.44

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Solution

The third proportional to 53,513.16 and 114,407.44 is: 244,595.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,513.16 : 114,407.44 = 114,407.44 : x
  2. Step 2: Convert to fraction form
    53,513.16/114,407.44 = 114,407.44/x
  3. Step 3: Cross multiply
    53,513.16x = 114,407.44 × 114,407.44
  4. Step 4: Simplify right side
    53,513.16x = 13,089,061,755.32
  5. Step 5: Solve for x
    x = 13,089,061,755.32/53,513.16
  6. Step 6: Final answer
    x = 244,595.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.