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Finding the Third Proportional to 103,993 and 156,920

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Solution

The third proportional to 103,993 and 156,920 is: 236,784.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,993 : 156,920 = 156,920 : x
  2. Step 2: Convert to fraction form
    103,993/156,920 = 156,920/x
  3. Step 3: Cross multiply
    103,993x = 156,920 × 156,920
  4. Step 4: Simplify right side
    103,993x = 24,623,886,400
  5. Step 5: Solve for x
    x = 24,623,886,400/103,993
  6. Step 6: Final answer
    x = 236,784.08

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.