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Finding the Third Proportional to 53,698 and 116,246

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Solution

The third proportional to 53,698 and 116,246 is: 251,650.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,698 : 116,246 = 116,246 : x
  2. Step 2: Convert to fraction form
    53,698/116,246 = 116,246/x
  3. Step 3: Cross multiply
    53,698x = 116,246 × 116,246
  4. Step 4: Simplify right side
    53,698x = 13,513,132,516
  5. Step 5: Solve for x
    x = 13,513,132,516/53,698
  6. Step 6: Final answer
    x = 251,650.57

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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.