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Finding the Third Proportional to 124,671 and 264,903

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Solution

The third proportional to 124,671 and 264,903 is: 562,870.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,671 : 264,903 = 264,903 : x
  2. Step 2: Convert to fraction form
    124,671/264,903 = 264,903/x
  3. Step 3: Cross multiply
    124,671x = 264,903 × 264,903
  4. Step 4: Simplify right side
    124,671x = 70,173,599,409
  5. Step 5: Solve for x
    x = 70,173,599,409/124,671
  6. Step 6: Final answer
    x = 562,870.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.