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Finding the Third Proportional to 45,543 and 93,336

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Solution

The third proportional to 45,543 and 93,336 is: 191,283.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,543 : 93,336 = 93,336 : x
  2. Step 2: Convert to fraction form
    45,543/93,336 = 93,336/x
  3. Step 3: Cross multiply
    45,543x = 93,336 × 93,336
  4. Step 4: Simplify right side
    45,543x = 8,711,608,896
  5. Step 5: Solve for x
    x = 8,711,608,896/45,543
  6. Step 6: Final answer
    x = 191,283.16

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.