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Finding the Third Proportional to 39,414 and 85,146

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Solution

The third proportional to 39,414 and 85,146 is: 183,940.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,414 : 85,146 = 85,146 : x
  2. Step 2: Convert to fraction form
    39,414/85,146 = 85,146/x
  3. Step 3: Cross multiply
    39,414x = 85,146 × 85,146
  4. Step 4: Simplify right side
    39,414x = 7,249,841,316
  5. Step 5: Solve for x
    x = 7,249,841,316/39,414
  6. Step 6: Final answer
    x = 183,940.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.