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Finding the Third Proportional to 117,556 and 171,301

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Solution

The third proportional to 117,556 and 171,301 is: 249,617.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,556 : 171,301 = 171,301 : x
  2. Step 2: Convert to fraction form
    117,556/171,301 = 171,301/x
  3. Step 3: Cross multiply
    117,556x = 171,301 × 171,301
  4. Step 4: Simplify right side
    117,556x = 29,344,032,601
  5. Step 5: Solve for x
    x = 29,344,032,601/117,556
  6. Step 6: Final answer
    x = 249,617.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.