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Finding the Third Proportional to 78,342 and 168,915

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Solution

The third proportional to 78,342 and 168,915 is: 364,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,342 : 168,915 = 168,915 : x
  2. Step 2: Convert to fraction form
    78,342/168,915 = 168,915/x
  3. Step 3: Cross multiply
    78,342x = 168,915 × 168,915
  4. Step 4: Simplify right side
    78,342x = 28,532,277,225
  5. Step 5: Solve for x
    x = 28,532,277,225/78,342
  6. Step 6: Final answer
    x = 364,201.54

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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.