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Finding the Third Proportional to 113,045.63 and 179,946.56

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Solution

The third proportional to 113,045.63 and 179,946.56 is: 286,439.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,045.63 : 179,946.56 = 179,946.56 : x
  2. Step 2: Convert to fraction form
    113,045.63/179,946.56 = 179,946.56/x
  3. Step 3: Cross multiply
    113,045.63x = 179,946.56 × 179,946.56
  4. Step 4: Simplify right side
    113,045.63x = 32,380,765,355.57
  5. Step 5: Solve for x
    x = 32,380,765,355.57/113,045.63
  6. Step 6: Final answer
    x = 286,439.79

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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.