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Finding the Third Proportional to 92,052 and 190,656

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Solution

The third proportional to 92,052 and 190,656 is: 394,882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,052 : 190,656 = 190,656 : x
  2. Step 2: Convert to fraction form
    92,052/190,656 = 190,656/x
  3. Step 3: Cross multiply
    92,052x = 190,656 × 190,656
  4. Step 4: Simplify right side
    92,052x = 36,349,710,336
  5. Step 5: Solve for x
    x = 36,349,710,336/92,052
  6. Step 6: Final answer
    x = 394,882.35

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.