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Finding the Third Proportional to 29,804 and 65,145

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Solution

The third proportional to 29,804 and 65,145 is: 142,392.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,804 : 65,145 = 65,145 : x
  2. Step 2: Convert to fraction form
    29,804/65,145 = 65,145/x
  3. Step 3: Cross multiply
    29,804x = 65,145 × 65,145
  4. Step 4: Simplify right side
    29,804x = 4,243,871,025
  5. Step 5: Solve for x
    x = 4,243,871,025/29,804
  6. Step 6: Final answer
    x = 142,392.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.