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Finding the Third Proportional to 112,580 and 172,614

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Solution

The third proportional to 112,580 and 172,614 is: 264,661.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,580 : 172,614 = 172,614 : x
  2. Step 2: Convert to fraction form
    112,580/172,614 = 172,614/x
  3. Step 3: Cross multiply
    112,580x = 172,614 × 172,614
  4. Step 4: Simplify right side
    112,580x = 29,795,592,996
  5. Step 5: Solve for x
    x = 29,795,592,996/112,580
  6. Step 6: Final answer
    x = 264,661.51

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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.