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Finding the Third Proportional to 137,656 and 193,852

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Solution

The third proportional to 137,656 and 193,852 is: 272,989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,656 : 193,852 = 193,852 : x
  2. Step 2: Convert to fraction form
    137,656/193,852 = 193,852/x
  3. Step 3: Cross multiply
    137,656x = 193,852 × 193,852
  4. Step 4: Simplify right side
    137,656x = 37,578,597,904
  5. Step 5: Solve for x
    x = 37,578,597,904/137,656
  6. Step 6: Final answer
    x = 272,989.18

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.