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Finding the Third Proportional to 132,096 and 277,248

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Solution

The third proportional to 132,096 and 277,248 is: 581,898.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,096 : 277,248 = 277,248 : x
  2. Step 2: Convert to fraction form
    132,096/277,248 = 277,248/x
  3. Step 3: Cross multiply
    132,096x = 277,248 × 277,248
  4. Step 4: Simplify right side
    132,096x = 76,866,453,504
  5. Step 5: Solve for x
    x = 76,866,453,504/132,096
  6. Step 6: Final answer
    x = 581,898.42

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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.