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Finding the Third Proportional to 113,967 and 162,729

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Solution

The third proportional to 113,967 and 162,729 is: 232,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,967 : 162,729 = 162,729 : x
  2. Step 2: Convert to fraction form
    113,967/162,729 = 162,729/x
  3. Step 3: Cross multiply
    113,967x = 162,729 × 162,729
  4. Step 4: Simplify right side
    113,967x = 26,480,727,441
  5. Step 5: Solve for x
    x = 26,480,727,441/113,967
  6. Step 6: Final answer
    x = 232,354.34

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.