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Finding the Third Proportional to 58,162 and 92,247

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Solution

The third proportional to 58,162 and 92,247 is: 146,307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,162 : 92,247 = 92,247 : x
  2. Step 2: Convert to fraction form
    58,162/92,247 = 92,247/x
  3. Step 3: Cross multiply
    58,162x = 92,247 × 92,247
  4. Step 4: Simplify right side
    58,162x = 8,509,509,009
  5. Step 5: Solve for x
    x = 8,509,509,009/58,162
  6. Step 6: Final answer
    x = 146,307.02

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.