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Finding the Third Proportional to 103,638 and 137,565

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Solution

The third proportional to 103,638 and 137,565 is: 182,598.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,638 : 137,565 = 137,565 : x
  2. Step 2: Convert to fraction form
    103,638/137,565 = 137,565/x
  3. Step 3: Cross multiply
    103,638x = 137,565 × 137,565
  4. Step 4: Simplify right side
    103,638x = 18,924,129,225
  5. Step 5: Solve for x
    x = 18,924,129,225/103,638
  6. Step 6: Final answer
    x = 182,598.36

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.