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Finding the Third Proportional to 65,526 and 98,185

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Solution

The third proportional to 65,526 and 98,185 is: 147,121.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,526 : 98,185 = 98,185 : x
  2. Step 2: Convert to fraction form
    65,526/98,185 = 98,185/x
  3. Step 3: Cross multiply
    65,526x = 98,185 × 98,185
  4. Step 4: Simplify right side
    65,526x = 9,640,294,225
  5. Step 5: Solve for x
    x = 9,640,294,225/65,526
  6. Step 6: Final answer
    x = 147,121.67

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Why These Related Problems?

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