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Finding the Third Proportional to 39,350 and 83,146

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Solution

The third proportional to 39,350 and 83,146 is: 175,686.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,350 : 83,146 = 83,146 : x
  2. Step 2: Convert to fraction form
    39,350/83,146 = 83,146/x
  3. Step 3: Cross multiply
    39,350x = 83,146 × 83,146
  4. Step 4: Simplify right side
    39,350x = 6,913,257,316
  5. Step 5: Solve for x
    x = 6,913,257,316/39,350
  6. Step 6: Final answer
    x = 175,686.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.