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Finding the Third Proportional to 45,146 and 97,825

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Solution

The third proportional to 45,146 and 97,825 is: 211,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,146 : 97,825 = 97,825 : x
  2. Step 2: Convert to fraction form
    45,146/97,825 = 97,825/x
  3. Step 3: Cross multiply
    45,146x = 97,825 × 97,825
  4. Step 4: Simplify right side
    45,146x = 9,569,730,625
  5. Step 5: Solve for x
    x = 9,569,730,625/45,146
  6. Step 6: Final answer
    x = 211,972.95

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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.