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Finding the Third Proportional to 45,114 and 98,001

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Solution

The third proportional to 45,114 and 98,001 is: 212,887.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,114 : 98,001 = 98,001 : x
  2. Step 2: Convert to fraction form
    45,114/98,001 = 98,001/x
  3. Step 3: Cross multiply
    45,114x = 98,001 × 98,001
  4. Step 4: Simplify right side
    45,114x = 9,604,196,001
  5. Step 5: Solve for x
    x = 9,604,196,001/45,114
  6. Step 6: Final answer
    x = 212,887.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.