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Finding the Third Proportional to 34,187 and 75,106

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Solution

The third proportional to 34,187 and 75,106 is: 165,001.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,187 : 75,106 = 75,106 : x
  2. Step 2: Convert to fraction form
    34,187/75,106 = 75,106/x
  3. Step 3: Cross multiply
    34,187x = 75,106 × 75,106
  4. Step 4: Simplify right side
    34,187x = 5,640,911,236
  5. Step 5: Solve for x
    x = 5,640,911,236/34,187
  6. Step 6: Final answer
    x = 165,001.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.