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Finding the Third Proportional to 84,080 and 175,946

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Solution

The third proportional to 84,080 and 175,946 is: 368,185.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,080 : 175,946 = 175,946 : x
  2. Step 2: Convert to fraction form
    84,080/175,946 = 175,946/x
  3. Step 3: Cross multiply
    84,080x = 175,946 × 175,946
  4. Step 4: Simplify right side
    84,080x = 30,956,994,916
  5. Step 5: Solve for x
    x = 30,956,994,916/84,080
  6. Step 6: Final answer
    x = 368,185.00

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.