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Finding the Third Proportional to 75,560 and 164,944

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Solution

The third proportional to 75,560 and 164,944 is: 360,065.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,560 : 164,944 = 164,944 : x
  2. Step 2: Convert to fraction form
    75,560/164,944 = 164,944/x
  3. Step 3: Cross multiply
    75,560x = 164,944 × 164,944
  4. Step 4: Simplify right side
    75,560x = 27,206,523,136
  5. Step 5: Solve for x
    x = 27,206,523,136/75,560
  6. Step 6: Final answer
    x = 360,065.16

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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.