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Finding the Third Proportional to 84,672 and 181,017

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Solution

The third proportional to 84,672 and 181,017 is: 386,989.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,672 : 181,017 = 181,017 : x
  2. Step 2: Convert to fraction form
    84,672/181,017 = 181,017/x
  3. Step 3: Cross multiply
    84,672x = 181,017 × 181,017
  4. Step 4: Simplify right side
    84,672x = 32,767,154,289
  5. Step 5: Solve for x
    x = 32,767,154,289/84,672
  6. Step 6: Final answer
    x = 386,989.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.