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Finding the Third Proportional to 92,829 and 190,576

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Solution

The third proportional to 92,829 and 190,576 is: 391,248.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,829 : 190,576 = 190,576 : x
  2. Step 2: Convert to fraction form
    92,829/190,576 = 190,576/x
  3. Step 3: Cross multiply
    92,829x = 190,576 × 190,576
  4. Step 4: Simplify right side
    92,829x = 36,319,211,776
  5. Step 5: Solve for x
    x = 36,319,211,776/92,829
  6. Step 6: Final answer
    x = 391,248.55

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.