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Finding the Third Proportional to 132,690 and 277,671

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Solution

The third proportional to 132,690 and 277,671 is: 581,062.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,690 : 277,671 = 277,671 : x
  2. Step 2: Convert to fraction form
    132,690/277,671 = 277,671/x
  3. Step 3: Cross multiply
    132,690x = 277,671 × 277,671
  4. Step 4: Simplify right side
    132,690x = 77,101,184,241
  5. Step 5: Solve for x
    x = 77,101,184,241/132,690
  6. Step 6: Final answer
    x = 581,062.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.