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Finding the Third Proportional to 72,646 and 111,082

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Solution

The third proportional to 72,646 and 111,082 is: 169,853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,646 : 111,082 = 111,082 : x
  2. Step 2: Convert to fraction form
    72,646/111,082 = 111,082/x
  3. Step 3: Cross multiply
    72,646x = 111,082 × 111,082
  4. Step 4: Simplify right side
    72,646x = 12,339,210,724
  5. Step 5: Solve for x
    x = 12,339,210,724/72,646
  6. Step 6: Final answer
    x = 169,853.96

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.