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Finding the Third Proportional to 53,604 and 117,898

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Solution

The third proportional to 53,604 and 117,898 is: 259,307.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,604 : 117,898 = 117,898 : x
  2. Step 2: Convert to fraction form
    53,604/117,898 = 117,898/x
  3. Step 3: Cross multiply
    53,604x = 117,898 × 117,898
  4. Step 4: Simplify right side
    53,604x = 13,899,938,404
  5. Step 5: Solve for x
    x = 13,899,938,404/53,604
  6. Step 6: Final answer
    x = 259,307.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.