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Finding the Third Proportional to 109,174 and 173,602

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Solution

The third proportional to 109,174 and 173,602 is: 276,051.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,174 : 173,602 = 173,602 : x
  2. Step 2: Convert to fraction form
    109,174/173,602 = 173,602/x
  3. Step 3: Cross multiply
    109,174x = 173,602 × 173,602
  4. Step 4: Simplify right side
    109,174x = 30,137,654,404
  5. Step 5: Solve for x
    x = 30,137,654,404/109,174
  6. Step 6: Final answer
    x = 276,051.57

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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.