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Finding the Third Proportional to 78,174 and 159,113

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Solution

The third proportional to 78,174 and 159,113 is: 323,853.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,174 : 159,113 = 159,113 : x
  2. Step 2: Convert to fraction form
    78,174/159,113 = 159,113/x
  3. Step 3: Cross multiply
    78,174x = 159,113 × 159,113
  4. Step 4: Simplify right side
    78,174x = 25,316,946,769
  5. Step 5: Solve for x
    x = 25,316,946,769/78,174
  6. Step 6: Final answer
    x = 323,853.80

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.