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Finding the Third Proportional to 115,082 and 183,196

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Solution

The third proportional to 115,082 and 183,196 is: 291,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,082 : 183,196 = 183,196 : x
  2. Step 2: Convert to fraction form
    115,082/183,196 = 183,196/x
  3. Step 3: Cross multiply
    115,082x = 183,196 × 183,196
  4. Step 4: Simplify right side
    115,082x = 33,560,774,416
  5. Step 5: Solve for x
    x = 33,560,774,416/115,082
  6. Step 6: Final answer
    x = 291,624.88

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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.