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Finding the Third Proportional to 115,086 and 183,202

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Solution

The third proportional to 115,086 and 183,202 is: 291,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,086 : 183,202 = 183,202 : x
  2. Step 2: Convert to fraction form
    115,086/183,202 = 183,202/x
  3. Step 3: Cross multiply
    115,086x = 183,202 × 183,202
  4. Step 4: Simplify right side
    115,086x = 33,562,972,804
  5. Step 5: Solve for x
    x = 33,562,972,804/115,086
  6. Step 6: Final answer
    x = 291,633.85

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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.