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Finding the Third Proportional to 45,869 and 93,681

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Solution

The third proportional to 45,869 and 93,681 is: 191,330.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,869 : 93,681 = 93,681 : x
  2. Step 2: Convert to fraction form
    45,869/93,681 = 93,681/x
  3. Step 3: Cross multiply
    45,869x = 93,681 × 93,681
  4. Step 4: Simplify right side
    45,869x = 8,776,129,761
  5. Step 5: Solve for x
    x = 8,776,129,761/45,869
  6. Step 6: Final answer
    x = 191,330.31

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.