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Finding the Third Proportional to 75,746 and 164,030

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Solution

The third proportional to 75,746 and 164,030 is: 355,211.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,746 : 164,030 = 164,030 : x
  2. Step 2: Convert to fraction form
    75,746/164,030 = 164,030/x
  3. Step 3: Cross multiply
    75,746x = 164,030 × 164,030
  4. Step 4: Simplify right side
    75,746x = 26,905,840,900
  5. Step 5: Solve for x
    x = 26,905,840,900/75,746
  6. Step 6: Final answer
    x = 355,211.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.