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Finding the Third Proportional to 113,865 and 173,813.25

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Solution

The third proportional to 113,865 and 173,813.25 is: 265,323.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,865 : 173,813.25 = 173,813.25 : x
  2. Step 2: Convert to fraction form
    113,865/173,813.25 = 173,813.25/x
  3. Step 3: Cross multiply
    113,865x = 173,813.25 × 173,813.25
  4. Step 4: Simplify right side
    113,865x = 30,211,045,875.56
  5. Step 5: Solve for x
    x = 30,211,045,875.56/113,865
  6. Step 6: Final answer
    x = 265,323.37

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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.