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Finding the Third Proportional to 105,653 and 232,042

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Solution

The third proportional to 105,653 and 232,042 is: 509,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,653 : 232,042 = 232,042 : x
  2. Step 2: Convert to fraction form
    105,653/232,042 = 232,042/x
  3. Step 3: Cross multiply
    105,653x = 232,042 × 232,042
  4. Step 4: Simplify right side
    105,653x = 53,843,489,764
  5. Step 5: Solve for x
    x = 53,843,489,764/105,653
  6. Step 6: Final answer
    x = 509,625.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.