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Finding the Third Proportional to 45,164 and 99,080

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Solution

The third proportional to 45,164 and 99,080 is: 217,359.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,164 : 99,080 = 99,080 : x
  2. Step 2: Convert to fraction form
    45,164/99,080 = 99,080/x
  3. Step 3: Cross multiply
    45,164x = 99,080 × 99,080
  4. Step 4: Simplify right side
    45,164x = 9,816,846,400
  5. Step 5: Solve for x
    x = 9,816,846,400/45,164
  6. Step 6: Final answer
    x = 217,359.99

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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.