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Finding the Third Proportional to 112,968 and 247,644

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Solution

The third proportional to 112,968 and 247,644 is: 542,875.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,968 : 247,644 = 247,644 : x
  2. Step 2: Convert to fraction form
    112,968/247,644 = 247,644/x
  3. Step 3: Cross multiply
    112,968x = 247,644 × 247,644
  4. Step 4: Simplify right side
    112,968x = 61,327,550,736
  5. Step 5: Solve for x
    x = 61,327,550,736/112,968
  6. Step 6: Final answer
    x = 542,875.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.