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Finding the Third Proportional to 64,392 and 98,500

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Solution

The third proportional to 64,392 and 98,500 is: 150,674.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,392 : 98,500 = 98,500 : x
  2. Step 2: Convert to fraction form
    64,392/98,500 = 98,500/x
  3. Step 3: Cross multiply
    64,392x = 98,500 × 98,500
  4. Step 4: Simplify right side
    64,392x = 9,702,250,000
  5. Step 5: Solve for x
    x = 9,702,250,000/64,392
  6. Step 6: Final answer
    x = 150,674.77

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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.