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Finding the Third Proportional to 73,798 and 116,672

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Solution

The third proportional to 73,798 and 116,672 is: 184,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,798 : 116,672 = 116,672 : x
  2. Step 2: Convert to fraction form
    73,798/116,672 = 116,672/x
  3. Step 3: Cross multiply
    73,798x = 116,672 × 116,672
  4. Step 4: Simplify right side
    73,798x = 13,612,355,584
  5. Step 5: Solve for x
    x = 13,612,355,584/73,798
  6. Step 6: Final answer
    x = 184,454.26

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.