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Finding the Third Proportional to 136,059.75 and 287,246.25

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Solution

The third proportional to 136,059.75 and 287,246.25 is: 606,427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,059.75 : 287,246.25 = 287,246.25 : x
  2. Step 2: Convert to fraction form
    136,059.75/287,246.25 = 287,246.25/x
  3. Step 3: Cross multiply
    136,059.75x = 287,246.25 × 287,246.25
  4. Step 4: Simplify right side
    136,059.75x = 82,510,408,139.06
  5. Step 5: Solve for x
    x = 82,510,408,139.06/136,059.75
  6. Step 6: Final answer
    x = 606,427.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.