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Finding the Third Proportional to 45,022 and 97,026.75

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Solution

The third proportional to 45,022 and 97,026.75 is: 209,102.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,022 : 97,026.75 = 97,026.75 : x
  2. Step 2: Convert to fraction form
    45,022/97,026.75 = 97,026.75/x
  3. Step 3: Cross multiply
    45,022x = 97,026.75 × 97,026.75
  4. Step 4: Simplify right side
    45,022x = 9,414,190,215.56
  5. Step 5: Solve for x
    x = 9,414,190,215.56/45,022
  6. Step 6: Final answer
    x = 209,102.00

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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.