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Finding the Third Proportional to 81,084 and 170,316

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Solution

The third proportional to 81,084 and 170,316 is: 357,746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,084 : 170,316 = 170,316 : x
  2. Step 2: Convert to fraction form
    81,084/170,316 = 170,316/x
  3. Step 3: Cross multiply
    81,084x = 170,316 × 170,316
  4. Step 4: Simplify right side
    81,084x = 29,007,539,856
  5. Step 5: Solve for x
    x = 29,007,539,856/81,084
  6. Step 6: Final answer
    x = 357,746.78

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.