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Finding the Third Proportional to 53,641 and 115,713

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Solution

The third proportional to 53,641 and 115,713 is: 249,613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,641 : 115,713 = 115,713 : x
  2. Step 2: Convert to fraction form
    53,641/115,713 = 115,713/x
  3. Step 3: Cross multiply
    53,641x = 115,713 × 115,713
  4. Step 4: Simplify right side
    53,641x = 13,389,498,369
  5. Step 5: Solve for x
    x = 13,389,498,369/53,641
  6. Step 6: Final answer
    x = 249,613.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.