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Finding the Third Proportional to 92,281 and 195,497

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Solution

The third proportional to 92,281 and 195,497 is: 414,159.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,281 : 195,497 = 195,497 : x
  2. Step 2: Convert to fraction form
    92,281/195,497 = 195,497/x
  3. Step 3: Cross multiply
    92,281x = 195,497 × 195,497
  4. Step 4: Simplify right side
    92,281x = 38,219,077,009
  5. Step 5: Solve for x
    x = 38,219,077,009/92,281
  6. Step 6: Final answer
    x = 414,159.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.