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Finding the Third Proportional to 42,214 and 98,623

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Solution

The third proportional to 42,214 and 98,623 is: 230,409.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,214 : 98,623 = 98,623 : x
  2. Step 2: Convert to fraction form
    42,214/98,623 = 98,623/x
  3. Step 3: Cross multiply
    42,214x = 98,623 × 98,623
  4. Step 4: Simplify right side
    42,214x = 9,726,496,129
  5. Step 5: Solve for x
    x = 9,726,496,129/42,214
  6. Step 6: Final answer
    x = 230,409.25

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.