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Finding the Third Proportional to 64,391 and 98,500

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Solution

The third proportional to 64,391 and 98,500 is: 150,677.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,391 : 98,500 = 98,500 : x
  2. Step 2: Convert to fraction form
    64,391/98,500 = 98,500/x
  3. Step 3: Cross multiply
    64,391x = 98,500 × 98,500
  4. Step 4: Simplify right side
    64,391x = 9,702,250,000
  5. Step 5: Solve for x
    x = 9,702,250,000/64,391
  6. Step 6: Final answer
    x = 150,677.11

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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.