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Finding the Third Proportional to 41,461 and 97,454

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Solution

The third proportional to 41,461 and 97,454 is: 229,065.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,461 : 97,454 = 97,454 : x
  2. Step 2: Convert to fraction form
    41,461/97,454 = 97,454/x
  3. Step 3: Cross multiply
    41,461x = 97,454 × 97,454
  4. Step 4: Simplify right side
    41,461x = 9,497,282,116
  5. Step 5: Solve for x
    x = 9,497,282,116/41,461
  6. Step 6: Final answer
    x = 229,065.44

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.