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Finding the Third Proportional to 132,072 and 277,200

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Solution

The third proportional to 132,072 and 277,200 is: 581,802.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,072 : 277,200 = 277,200 : x
  2. Step 2: Convert to fraction form
    132,072/277,200 = 277,200/x
  3. Step 3: Cross multiply
    132,072x = 277,200 × 277,200
  4. Step 4: Simplify right side
    132,072x = 76,839,840,000
  5. Step 5: Solve for x
    x = 76,839,840,000/132,072
  6. Step 6: Final answer
    x = 581,802.65

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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.