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Finding the Third Proportional to 78,126 and 168,117

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Solution

The third proportional to 78,126 and 168,117 is: 361,765.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,126 : 168,117 = 168,117 : x
  2. Step 2: Convert to fraction form
    78,126/168,117 = 168,117/x
  3. Step 3: Cross multiply
    78,126x = 168,117 × 168,117
  4. Step 4: Simplify right side
    78,126x = 28,263,325,689
  5. Step 5: Solve for x
    x = 28,263,325,689/78,126
  6. Step 6: Final answer
    x = 361,765.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.