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Finding the Third Proportional to 45,038 and 98,004

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Solution

The third proportional to 45,038 and 98,004 is: 213,259.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,038 : 98,004 = 98,004 : x
  2. Step 2: Convert to fraction form
    45,038/98,004 = 98,004/x
  3. Step 3: Cross multiply
    45,038x = 98,004 × 98,004
  4. Step 4: Simplify right side
    45,038x = 9,604,784,016
  5. Step 5: Solve for x
    x = 9,604,784,016/45,038
  6. Step 6: Final answer
    x = 213,259.56

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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.