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Finding the Third Proportional to 76,173 and 115,881

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Solution

The third proportional to 76,173 and 115,881 is: 176,288.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,173 : 115,881 = 115,881 : x
  2. Step 2: Convert to fraction form
    76,173/115,881 = 115,881/x
  3. Step 3: Cross multiply
    76,173x = 115,881 × 115,881
  4. Step 4: Simplify right side
    76,173x = 13,428,406,161
  5. Step 5: Solve for x
    x = 13,428,406,161/76,173
  6. Step 6: Final answer
    x = 176,288.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.