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Finding the Third Proportional to 81,044 and 174,574

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Solution

The third proportional to 81,044 and 174,574 is: 376,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,044 : 174,574 = 174,574 : x
  2. Step 2: Convert to fraction form
    81,044/174,574 = 174,574/x
  3. Step 3: Cross multiply
    81,044x = 174,574 × 174,574
  4. Step 4: Simplify right side
    81,044x = 30,476,081,476
  5. Step 5: Solve for x
    x = 30,476,081,476/81,044
  6. Step 6: Final answer
    x = 376,043.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.