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Finding the Third Proportional to 129,634 and 196,262

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Solution

The third proportional to 129,634 and 196,262 is: 297,134.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,634 : 196,262 = 196,262 : x
  2. Step 2: Convert to fraction form
    129,634/196,262 = 196,262/x
  3. Step 3: Cross multiply
    129,634x = 196,262 × 196,262
  4. Step 4: Simplify right side
    129,634x = 38,518,772,644
  5. Step 5: Solve for x
    x = 38,518,772,644/129,634
  6. Step 6: Final answer
    x = 297,134.80

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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.