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Finding the Third Proportional to 132,120 and 277,164

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Solution

The third proportional to 132,120 and 277,164 is: 581,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,120 : 277,164 = 277,164 : x
  2. Step 2: Convert to fraction form
    132,120/277,164 = 277,164/x
  3. Step 3: Cross multiply
    132,120x = 277,164 × 277,164
  4. Step 4: Simplify right side
    132,120x = 76,819,882,896
  5. Step 5: Solve for x
    x = 76,819,882,896/132,120
  6. Step 6: Final answer
    x = 581,440.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.