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Finding the Third Proportional to 45,080 and 67,628

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Solution

The third proportional to 45,080 and 67,628 is: 101,454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,080 : 67,628 = 67,628 : x
  2. Step 2: Convert to fraction form
    45,080/67,628 = 67,628/x
  3. Step 3: Cross multiply
    45,080x = 67,628 × 67,628
  4. Step 4: Simplify right side
    45,080x = 4,573,546,384
  5. Step 5: Solve for x
    x = 4,573,546,384/45,080
  6. Step 6: Final answer
    x = 101,454.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.