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Finding the Third Proportional to 84,114 and 181,348

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Solution

The third proportional to 84,114 and 181,348 is: 390,982.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,114 : 181,348 = 181,348 : x
  2. Step 2: Convert to fraction form
    84,114/181,348 = 181,348/x
  3. Step 3: Cross multiply
    84,114x = 181,348 × 181,348
  4. Step 4: Simplify right side
    84,114x = 32,887,097,104
  5. Step 5: Solve for x
    x = 32,887,097,104/84,114
  6. Step 6: Final answer
    x = 390,982.44

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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.