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Finding the Third Proportional to 34,500 and 75,459

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Solution

The third proportional to 34,500 and 75,459 is: 165,045.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,500 : 75,459 = 75,459 : x
  2. Step 2: Convert to fraction form
    34,500/75,459 = 75,459/x
  3. Step 3: Cross multiply
    34,500x = 75,459 × 75,459
  4. Step 4: Simplify right side
    34,500x = 5,694,060,681
  5. Step 5: Solve for x
    x = 5,694,060,681/34,500
  6. Step 6: Final answer
    x = 165,045.24

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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.