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Finding the Third Proportional to 112,903 and 243,625

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Solution

The third proportional to 112,903 and 243,625 is: 525,700.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,903 : 243,625 = 243,625 : x
  2. Step 2: Convert to fraction form
    112,903/243,625 = 243,625/x
  3. Step 3: Cross multiply
    112,903x = 243,625 × 243,625
  4. Step 4: Simplify right side
    112,903x = 59,353,140,625
  5. Step 5: Solve for x
    x = 59,353,140,625/112,903
  6. Step 6: Final answer
    x = 525,700.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.