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Finding the Third Proportional to 67,497 and 103,290

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Solution

The third proportional to 67,497 and 103,290 is: 158,063.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,497 : 103,290 = 103,290 : x
  2. Step 2: Convert to fraction form
    67,497/103,290 = 103,290/x
  3. Step 3: Cross multiply
    67,497x = 103,290 × 103,290
  4. Step 4: Simplify right side
    67,497x = 10,668,824,100
  5. Step 5: Solve for x
    x = 10,668,824,100/67,497
  6. Step 6: Final answer
    x = 158,063.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.