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Finding the Third Proportional to 72,082 and 114,785

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Solution

The third proportional to 72,082 and 114,785 is: 182,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,082 : 114,785 = 114,785 : x
  2. Step 2: Convert to fraction form
    72,082/114,785 = 114,785/x
  3. Step 3: Cross multiply
    72,082x = 114,785 × 114,785
  4. Step 4: Simplify right side
    72,082x = 13,175,596,225
  5. Step 5: Solve for x
    x = 13,175,596,225/72,082
  6. Step 6: Final answer
    x = 182,786.22

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Why These Related Problems?

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