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Finding the Third Proportional to 43,574 and 95,454

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Solution

The third proportional to 43,574 and 95,454 is: 209,103.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,574 : 95,454 = 95,454 : x
  2. Step 2: Convert to fraction form
    43,574/95,454 = 95,454/x
  3. Step 3: Cross multiply
    43,574x = 95,454 × 95,454
  4. Step 4: Simplify right side
    43,574x = 9,111,466,116
  5. Step 5: Solve for x
    x = 9,111,466,116/43,574
  6. Step 6: Final answer
    x = 209,103.28

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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.