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Finding the Third Proportional to 171,764 and 187,316

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Solution

The third proportional to 171,764 and 187,316 is: 204,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,764 : 187,316 = 187,316 : x
  2. Step 2: Convert to fraction form
    171,764/187,316 = 187,316/x
  3. Step 3: Cross multiply
    171,764x = 187,316 × 187,316
  4. Step 4: Simplify right side
    171,764x = 35,087,283,856
  5. Step 5: Solve for x
    x = 35,087,283,856/171,764
  6. Step 6: Final answer
    x = 204,276.12

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.