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Finding the Third Proportional to 45,042 and 98,012

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Solution

The third proportional to 45,042 and 98,012 is: 213,275.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,042 : 98,012 = 98,012 : x
  2. Step 2: Convert to fraction form
    45,042/98,012 = 98,012/x
  3. Step 3: Cross multiply
    45,042x = 98,012 × 98,012
  4. Step 4: Simplify right side
    45,042x = 9,606,352,144
  5. Step 5: Solve for x
    x = 9,606,352,144/45,042
  6. Step 6: Final answer
    x = 213,275.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.