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Finding the Third Proportional to 42,741 and 93,609

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Solution

The third proportional to 42,741 and 93,609 is: 205,017.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,741 : 93,609 = 93,609 : x
  2. Step 2: Convert to fraction form
    42,741/93,609 = 93,609/x
  3. Step 3: Cross multiply
    42,741x = 93,609 × 93,609
  4. Step 4: Simplify right side
    42,741x = 8,762,644,881
  5. Step 5: Solve for x
    x = 8,762,644,881/42,741
  6. Step 6: Final answer
    x = 205,017.31

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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.