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Finding the Third Proportional to 132,316 and 180,977

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Solution

The third proportional to 132,316 and 180,977 is: 247,533.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,316 : 180,977 = 180,977 : x
  2. Step 2: Convert to fraction form
    132,316/180,977 = 180,977/x
  3. Step 3: Cross multiply
    132,316x = 180,977 × 180,977
  4. Step 4: Simplify right side
    132,316x = 32,752,674,529
  5. Step 5: Solve for x
    x = 32,752,674,529/132,316
  6. Step 6: Final answer
    x = 247,533.74

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.