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Finding the Third Proportional to 65,526 and 98,055

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Solution

The third proportional to 65,526 and 98,055 is: 146,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,526 : 98,055 = 98,055 : x
  2. Step 2: Convert to fraction form
    65,526/98,055 = 98,055/x
  3. Step 3: Cross multiply
    65,526x = 98,055 × 98,055
  4. Step 4: Simplify right side
    65,526x = 9,614,783,025
  5. Step 5: Solve for x
    x = 9,614,783,025/65,526
  6. Step 6: Final answer
    x = 146,732.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.