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Finding the Third Proportional to 73,984 and 113,460

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Solution

The third proportional to 73,984 and 113,460 is: 173,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,984 : 113,460 = 113,460 : x
  2. Step 2: Convert to fraction form
    73,984/113,460 = 113,460/x
  3. Step 3: Cross multiply
    73,984x = 113,460 × 113,460
  4. Step 4: Simplify right side
    73,984x = 12,873,171,600
  5. Step 5: Solve for x
    x = 12,873,171,600/73,984
  6. Step 6: Final answer
    x = 173,999.40

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.