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Finding the Third Proportional to 53,305 and 114,813

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Solution

The third proportional to 53,305 and 114,813 is: 247,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,305 : 114,813 = 114,813 : x
  2. Step 2: Convert to fraction form
    53,305/114,813 = 114,813/x
  3. Step 3: Cross multiply
    53,305x = 114,813 × 114,813
  4. Step 4: Simplify right side
    53,305x = 13,182,024,969
  5. Step 5: Solve for x
    x = 13,182,024,969/53,305
  6. Step 6: Final answer
    x = 247,294.34

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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.