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Finding the Third Proportional to 58,182 and 92,274

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Solution

The third proportional to 58,182 and 92,274 is: 146,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,182 : 92,274 = 92,274 : x
  2. Step 2: Convert to fraction form
    58,182/92,274 = 92,274/x
  3. Step 3: Cross multiply
    58,182x = 92,274 × 92,274
  4. Step 4: Simplify right side
    58,182x = 8,514,491,076
  5. Step 5: Solve for x
    x = 8,514,491,076/58,182
  6. Step 6: Final answer
    x = 146,342.36

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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.