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Finding the Third Proportional to 116,146 and 163,562

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Solution

The third proportional to 116,146 and 163,562 is: 230,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,146 : 163,562 = 163,562 : x
  2. Step 2: Convert to fraction form
    116,146/163,562 = 163,562/x
  3. Step 3: Cross multiply
    116,146x = 163,562 × 163,562
  4. Step 4: Simplify right side
    116,146x = 26,752,527,844
  5. Step 5: Solve for x
    x = 26,752,527,844/116,146
  6. Step 6: Final answer
    x = 230,335.34

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.