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Finding the Third Proportional to 109,470 and 165,000

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Solution

The third proportional to 109,470 and 165,000 is: 248,698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,470 : 165,000 = 165,000 : x
  2. Step 2: Convert to fraction form
    109,470/165,000 = 165,000/x
  3. Step 3: Cross multiply
    109,470x = 165,000 × 165,000
  4. Step 4: Simplify right side
    109,470x = 27,225,000,000
  5. Step 5: Solve for x
    x = 27,225,000,000/109,470
  6. Step 6: Final answer
    x = 248,698.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.