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Finding the Third Proportional to 82,316 and 124,622

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Solution

The third proportional to 82,316 and 124,622 is: 188,671.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,316 : 124,622 = 124,622 : x
  2. Step 2: Convert to fraction form
    82,316/124,622 = 124,622/x
  3. Step 3: Cross multiply
    82,316x = 124,622 × 124,622
  4. Step 4: Simplify right side
    82,316x = 15,530,642,884
  5. Step 5: Solve for x
    x = 15,530,642,884/82,316
  6. Step 6: Final answer
    x = 188,671.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.