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Finding the Third Proportional to 45,726 and 99,831

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Solution

The third proportional to 45,726 and 99,831 is: 217,955.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,726 : 99,831 = 99,831 : x
  2. Step 2: Convert to fraction form
    45,726/99,831 = 99,831/x
  3. Step 3: Cross multiply
    45,726x = 99,831 × 99,831
  4. Step 4: Simplify right side
    45,726x = 9,966,228,561
  5. Step 5: Solve for x
    x = 9,966,228,561/45,726
  6. Step 6: Final answer
    x = 217,955.40

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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.