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Finding the Third Proportional to 112,577 and 172,610

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Solution

The third proportional to 112,577 and 172,610 is: 264,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,577 : 172,610 = 172,610 : x
  2. Step 2: Convert to fraction form
    112,577/172,610 = 172,610/x
  3. Step 3: Cross multiply
    112,577x = 172,610 × 172,610
  4. Step 4: Simplify right side
    112,577x = 29,794,212,100
  5. Step 5: Solve for x
    x = 29,794,212,100/112,577
  6. Step 6: Final answer
    x = 264,656.30

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.