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Finding the Third Proportional to 45,166 and 63,546

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Solution

The third proportional to 45,166 and 63,546 is: 89,405.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,166 : 63,546 = 63,546 : x
  2. Step 2: Convert to fraction form
    45,166/63,546 = 63,546/x
  3. Step 3: Cross multiply
    45,166x = 63,546 × 63,546
  4. Step 4: Simplify right side
    45,166x = 4,038,094,116
  5. Step 5: Solve for x
    x = 4,038,094,116/45,166
  6. Step 6: Final answer
    x = 89,405.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.