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Finding the Third Proportional to 116,148 and 163,563

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Solution

The third proportional to 116,148 and 163,563 is: 230,334.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,148 : 163,563 = 163,563 : x
  2. Step 2: Convert to fraction form
    116,148/163,563 = 163,563/x
  3. Step 3: Cross multiply
    116,148x = 163,563 × 163,563
  4. Step 4: Simplify right side
    116,148x = 26,752,854,969
  5. Step 5: Solve for x
    x = 26,752,854,969/116,148
  6. Step 6: Final answer
    x = 230,334.19

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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.