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Finding the Third Proportional to 105,645 and 232,026

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Solution

The third proportional to 105,645 and 232,026 is: 509,594.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,645 : 232,026 = 232,026 : x
  2. Step 2: Convert to fraction form
    105,645/232,026 = 232,026/x
  3. Step 3: Cross multiply
    105,645x = 232,026 × 232,026
  4. Step 4: Simplify right side
    105,645x = 53,836,064,676
  5. Step 5: Solve for x
    x = 53,836,064,676/105,645
  6. Step 6: Final answer
    x = 509,594.06

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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.