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Finding the Third Proportional to 43,557 and 95,421

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Solution

The third proportional to 43,557 and 95,421 is: 209,040.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,557 : 95,421 = 95,421 : x
  2. Step 2: Convert to fraction form
    43,557/95,421 = 95,421/x
  3. Step 3: Cross multiply
    43,557x = 95,421 × 95,421
  4. Step 4: Simplify right side
    43,557x = 9,105,167,241
  5. Step 5: Solve for x
    x = 9,105,167,241/43,557
  6. Step 6: Final answer
    x = 209,040.27

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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.