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Finding the Third Proportional to 89,414 and 125,305

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Solution

The third proportional to 89,414 and 125,305 is: 175,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,414 : 125,305 = 125,305 : x
  2. Step 2: Convert to fraction form
    89,414/125,305 = 125,305/x
  3. Step 3: Cross multiply
    89,414x = 125,305 × 125,305
  4. Step 4: Simplify right side
    89,414x = 15,701,343,025
  5. Step 5: Solve for x
    x = 15,701,343,025/89,414
  6. Step 6: Final answer
    x = 175,602.74

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.