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Finding the Third Proportional to 45,563 and 98,614

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Solution

The third proportional to 45,563 and 98,614 is: 213,434.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,563 : 98,614 = 98,614 : x
  2. Step 2: Convert to fraction form
    45,563/98,614 = 98,614/x
  3. Step 3: Cross multiply
    45,563x = 98,614 × 98,614
  4. Step 4: Simplify right side
    45,563x = 9,724,720,996
  5. Step 5: Solve for x
    x = 9,724,720,996/45,563
  6. Step 6: Final answer
    x = 213,434.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.