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Finding the Third Proportional to 113,824 and 172,301

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Solution

The third proportional to 113,824 and 172,301 is: 260,820.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,824 : 172,301 = 172,301 : x
  2. Step 2: Convert to fraction form
    113,824/172,301 = 172,301/x
  3. Step 3: Cross multiply
    113,824x = 172,301 × 172,301
  4. Step 4: Simplify right side
    113,824x = 29,687,634,601
  5. Step 5: Solve for x
    x = 29,687,634,601/113,824
  6. Step 6: Final answer
    x = 260,820.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.