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Finding the Third Proportional to 92,053 and 204,841

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Solution

The third proportional to 92,053 and 204,841 is: 455,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,053 : 204,841 = 204,841 : x
  2. Step 2: Convert to fraction form
    92,053/204,841 = 204,841/x
  3. Step 3: Cross multiply
    92,053x = 204,841 × 204,841
  4. Step 4: Simplify right side
    92,053x = 41,959,835,281
  5. Step 5: Solve for x
    x = 41,959,835,281/92,053
  6. Step 6: Final answer
    x = 455,822.57

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.