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Finding the Third Proportional to 34,525 and 75,639

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Solution

The third proportional to 34,525 and 75,639 is: 165,713.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,525 : 75,639 = 75,639 : x
  2. Step 2: Convert to fraction form
    34,525/75,639 = 75,639/x
  3. Step 3: Cross multiply
    34,525x = 75,639 × 75,639
  4. Step 4: Simplify right side
    34,525x = 5,721,258,321
  5. Step 5: Solve for x
    x = 5,721,258,321/34,525
  6. Step 6: Final answer
    x = 165,713.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.