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Finding the Third Proportional to 84,056 and 183,376

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Solution

The third proportional to 84,056 and 183,376 is: 400,051.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,056 : 183,376 = 183,376 : x
  2. Step 2: Convert to fraction form
    84,056/183,376 = 183,376/x
  3. Step 3: Cross multiply
    84,056x = 183,376 × 183,376
  4. Step 4: Simplify right side
    84,056x = 33,626,757,376
  5. Step 5: Solve for x
    x = 33,626,757,376/84,056
  6. Step 6: Final answer
    x = 400,051.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.