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Finding the Third Proportional to 42,614 and 93,004

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Solution

The third proportional to 42,614 and 93,004 is: 202,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,614 : 93,004 = 93,004 : x
  2. Step 2: Convert to fraction form
    42,614/93,004 = 93,004/x
  3. Step 3: Cross multiply
    42,614x = 93,004 × 93,004
  4. Step 4: Simplify right side
    42,614x = 8,649,744,016
  5. Step 5: Solve for x
    x = 8,649,744,016/42,614
  6. Step 6: Final answer
    x = 202,978.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.