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Finding the Third Proportional to 137,609 and 193,783

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Solution

The third proportional to 137,609 and 193,783 is: 272,888.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,609 : 193,783 = 193,783 : x
  2. Step 2: Convert to fraction form
    137,609/193,783 = 193,783/x
  3. Step 3: Cross multiply
    137,609x = 193,783 × 193,783
  4. Step 4: Simplify right side
    137,609x = 37,551,851,089
  5. Step 5: Solve for x
    x = 37,551,851,089/137,609
  6. Step 6: Final answer
    x = 272,888.05

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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.