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Finding the Third Proportional to 48,072 and 76,044

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Solution

The third proportional to 48,072 and 76,044 is: 120,292.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,072 : 76,044 = 76,044 : x
  2. Step 2: Convert to fraction form
    48,072/76,044 = 76,044/x
  3. Step 3: Cross multiply
    48,072x = 76,044 × 76,044
  4. Step 4: Simplify right side
    48,072x = 5,782,689,936
  5. Step 5: Solve for x
    x = 5,782,689,936/48,072
  6. Step 6: Final answer
    x = 120,292.27

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.