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Finding the Third Proportional to 112,648 and 237,968

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Solution

The third proportional to 112,648 and 237,968 is: 502,705.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,648 : 237,968 = 237,968 : x
  2. Step 2: Convert to fraction form
    112,648/237,968 = 237,968/x
  3. Step 3: Cross multiply
    112,648x = 237,968 × 237,968
  4. Step 4: Simplify right side
    112,648x = 56,628,769,024
  5. Step 5: Solve for x
    x = 56,628,769,024/112,648
  6. Step 6: Final answer
    x = 502,705.50

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.