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Finding the Third Proportional to 113,864 and 180,971

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Solution

The third proportional to 113,864 and 180,971 is: 287,628.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,864 : 180,971 = 180,971 : x
  2. Step 2: Convert to fraction form
    113,864/180,971 = 180,971/x
  3. Step 3: Cross multiply
    113,864x = 180,971 × 180,971
  4. Step 4: Simplify right side
    113,864x = 32,750,502,841
  5. Step 5: Solve for x
    x = 32,750,502,841/113,864
  6. Step 6: Final answer
    x = 287,628.25

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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.