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Finding the Third Proportional to 53,197 and 115,260

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Solution

The third proportional to 53,197 and 115,260 is: 249,729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,197 : 115,260 = 115,260 : x
  2. Step 2: Convert to fraction form
    53,197/115,260 = 115,260/x
  3. Step 3: Cross multiply
    53,197x = 115,260 × 115,260
  4. Step 4: Simplify right side
    53,197x = 13,284,867,600
  5. Step 5: Solve for x
    x = 13,284,867,600/53,197
  6. Step 6: Final answer
    x = 249,729.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.