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Finding the Third Proportional to 34,566 and 75,390

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Solution

The third proportional to 34,566 and 75,390 is: 164,428.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,566 : 75,390 = 75,390 : x
  2. Step 2: Convert to fraction form
    34,566/75,390 = 75,390/x
  3. Step 3: Cross multiply
    34,566x = 75,390 × 75,390
  4. Step 4: Simplify right side
    34,566x = 5,683,652,100
  5. Step 5: Solve for x
    x = 5,683,652,100/34,566
  6. Step 6: Final answer
    x = 164,428.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.