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Finding the Third Proportional to 111,895 and 170,765

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Solution

The third proportional to 111,895 and 170,765 is: 260,607.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,895 : 170,765 = 170,765 : x
  2. Step 2: Convert to fraction form
    111,895/170,765 = 170,765/x
  3. Step 3: Cross multiply
    111,895x = 170,765 × 170,765
  4. Step 4: Simplify right side
    111,895x = 29,160,685,225
  5. Step 5: Solve for x
    x = 29,160,685,225/111,895
  6. Step 6: Final answer
    x = 260,607.58

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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.