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Finding the Third Proportional to 81,079 and 174,146

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Solution

The third proportional to 81,079 and 174,146 is: 374,040.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,079 : 174,146 = 174,146 : x
  2. Step 2: Convert to fraction form
    81,079/174,146 = 174,146/x
  3. Step 3: Cross multiply
    81,079x = 174,146 × 174,146
  4. Step 4: Simplify right side
    81,079x = 30,326,829,316
  5. Step 5: Solve for x
    x = 30,326,829,316/81,079
  6. Step 6: Final answer
    x = 374,040.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.