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Finding the Third Proportional to 45,006 and 98,488

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Solution

The third proportional to 45,006 and 98,488 is: 215,524.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,006 : 98,488 = 98,488 : x
  2. Step 2: Convert to fraction form
    45,006/98,488 = 98,488/x
  3. Step 3: Cross multiply
    45,006x = 98,488 × 98,488
  4. Step 4: Simplify right side
    45,006x = 9,699,886,144
  5. Step 5: Solve for x
    x = 9,699,886,144/45,006
  6. Step 6: Final answer
    x = 215,524.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.