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Finding the Third Proportional to 45,135 and 99,022

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Solution

The third proportional to 45,135 and 99,022 is: 217,245.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,135 : 99,022 = 99,022 : x
  2. Step 2: Convert to fraction form
    45,135/99,022 = 99,022/x
  3. Step 3: Cross multiply
    45,135x = 99,022 × 99,022
  4. Step 4: Simplify right side
    45,135x = 9,805,356,484
  5. Step 5: Solve for x
    x = 9,805,356,484/45,135
  6. Step 6: Final answer
    x = 217,245.08

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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.