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Finding the Third Proportional to 65,647.50 and 104,213

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Solution

The third proportional to 65,647.50 and 104,213 is: 165,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,647.50 : 104,213 = 104,213 : x
  2. Step 2: Convert to fraction form
    65,647.50/104,213 = 104,213/x
  3. Step 3: Cross multiply
    65,647.50x = 104,213 × 104,213
  4. Step 4: Simplify right side
    65,647.50x = 10,860,349,369
  5. Step 5: Solve for x
    x = 10,860,349,369/65,647.50
  6. Step 6: Final answer
    x = 165,434.32

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.