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Finding the Third Proportional to 117,672 and 252,192

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Solution

The third proportional to 117,672 and 252,192 is: 540,492.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,672 : 252,192 = 252,192 : x
  2. Step 2: Convert to fraction form
    117,672/252,192 = 252,192/x
  3. Step 3: Cross multiply
    117,672x = 252,192 × 252,192
  4. Step 4: Simplify right side
    117,672x = 63,600,804,864
  5. Step 5: Solve for x
    x = 63,600,804,864/117,672
  6. Step 6: Final answer
    x = 540,492.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.