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Finding the Third Proportional to 80,580 and 173,972

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Solution

The third proportional to 80,580 and 173,972 is: 375,605.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,580 : 173,972 = 173,972 : x
  2. Step 2: Convert to fraction form
    80,580/173,972 = 173,972/x
  3. Step 3: Cross multiply
    80,580x = 173,972 × 173,972
  4. Step 4: Simplify right side
    80,580x = 30,266,256,784
  5. Step 5: Solve for x
    x = 30,266,256,784/80,580
  6. Step 6: Final answer
    x = 375,605.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.