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Finding the Third Proportional to 92,072 and 142,176

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Solution

The third proportional to 92,072 and 142,176 is: 219,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,072 : 142,176 = 142,176 : x
  2. Step 2: Convert to fraction form
    92,072/142,176 = 142,176/x
  3. Step 3: Cross multiply
    92,072x = 142,176 × 142,176
  4. Step 4: Simplify right side
    92,072x = 20,214,014,976
  5. Step 5: Solve for x
    x = 20,214,014,976/92,072
  6. Step 6: Final answer
    x = 219,545.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.