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Finding the Third Proportional to 103,664 and 165,030

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Solution

The third proportional to 103,664 and 165,030 is: 262,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,664 : 165,030 = 165,030 : x
  2. Step 2: Convert to fraction form
    103,664/165,030 = 165,030/x
  3. Step 3: Cross multiply
    103,664x = 165,030 × 165,030
  4. Step 4: Simplify right side
    103,664x = 27,234,900,900
  5. Step 5: Solve for x
    x = 27,234,900,900/103,664
  6. Step 6: Final answer
    x = 262,722.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.