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Finding the Third Proportional to 34,169 and 70,039

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Solution

The third proportional to 34,169 and 70,039 is: 143,564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,169 : 70,039 = 70,039 : x
  2. Step 2: Convert to fraction form
    34,169/70,039 = 70,039/x
  3. Step 3: Cross multiply
    34,169x = 70,039 × 70,039
  4. Step 4: Simplify right side
    34,169x = 4,905,461,521
  5. Step 5: Solve for x
    x = 4,905,461,521/34,169
  6. Step 6: Final answer
    x = 143,564.68

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.