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Finding the Third Proportional to 113,848 and 163,987

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Solution

The third proportional to 113,848 and 163,987 is: 236,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,848 : 163,987 = 163,987 : x
  2. Step 2: Convert to fraction form
    113,848/163,987 = 163,987/x
  3. Step 3: Cross multiply
    113,848x = 163,987 × 163,987
  4. Step 4: Simplify right side
    113,848x = 26,891,736,169
  5. Step 5: Solve for x
    x = 26,891,736,169/113,848
  6. Step 6: Final answer
    x = 236,207.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.