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Finding the Third Proportional to 113,125 and 243,734

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Solution

The third proportional to 113,125 and 243,734 is: 525,138.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,125 : 243,734 = 243,734 : x
  2. Step 2: Convert to fraction form
    113,125/243,734 = 243,734/x
  3. Step 3: Cross multiply
    113,125x = 243,734 × 243,734
  4. Step 4: Simplify right side
    113,125x = 59,406,262,756
  5. Step 5: Solve for x
    x = 59,406,262,756/113,125
  6. Step 6: Final answer
    x = 525,138.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.