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Finding the Third Proportional to 137,623 and 193,798

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Solution

The third proportional to 137,623 and 193,798 is: 272,902.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,623 : 193,798 = 193,798 : x
  2. Step 2: Convert to fraction form
    137,623/193,798 = 193,798/x
  3. Step 3: Cross multiply
    137,623x = 193,798 × 193,798
  4. Step 4: Simplify right side
    137,623x = 37,557,664,804
  5. Step 5: Solve for x
    x = 37,557,664,804/137,623
  6. Step 6: Final answer
    x = 272,902.53

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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.