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Finding the Third Proportional to 45,165 and 63,546

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Solution

The third proportional to 45,165 and 63,546 is: 89,407.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,165 : 63,546 = 63,546 : x
  2. Step 2: Convert to fraction form
    45,165/63,546 = 63,546/x
  3. Step 3: Cross multiply
    45,165x = 63,546 × 63,546
  4. Step 4: Simplify right side
    45,165x = 4,038,094,116
  5. Step 5: Solve for x
    x = 4,038,094,116/45,165
  6. Step 6: Final answer
    x = 89,407.60

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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.