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Finding the Third Proportional to 113,045.75 and 179,947.25

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Solution

The third proportional to 113,045.75 and 179,947.25 is: 286,441.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,045.75 : 179,947.25 = 179,947.25 : x
  2. Step 2: Convert to fraction form
    113,045.75/179,947.25 = 179,947.25/x
  3. Step 3: Cross multiply
    113,045.75x = 179,947.25 × 179,947.25
  4. Step 4: Simplify right side
    113,045.75x = 32,381,012,782.56
  5. Step 5: Solve for x
    x = 32,381,012,782.56/113,045.75
  6. Step 6: Final answer
    x = 286,441.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.