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Finding the Third Proportional to 65,866 and 97,655

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Solution

The third proportional to 65,866 and 97,655 is: 144,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,866 : 97,655 = 97,655 : x
  2. Step 2: Convert to fraction form
    65,866/97,655 = 97,655/x
  3. Step 3: Cross multiply
    65,866x = 97,655 × 97,655
  4. Step 4: Simplify right side
    65,866x = 9,536,499,025
  5. Step 5: Solve for x
    x = 9,536,499,025/65,866
  6. Step 6: Final answer
    x = 144,786.37

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.