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Finding the Third Proportional to 45,805 and 72,861

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Solution

The third proportional to 45,805 and 72,861 is: 115,898.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,805 : 72,861 = 72,861 : x
  2. Step 2: Convert to fraction form
    45,805/72,861 = 72,861/x
  3. Step 3: Cross multiply
    45,805x = 72,861 × 72,861
  4. Step 4: Simplify right side
    45,805x = 5,308,725,321
  5. Step 5: Solve for x
    x = 5,308,725,321/45,805
  6. Step 6: Final answer
    x = 115,898.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.