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Finding the Third Proportional to 34,540 and 74,594

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Solution

The third proportional to 34,540 and 74,594 is: 161,096.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,540 : 74,594 = 74,594 : x
  2. Step 2: Convert to fraction form
    34,540/74,594 = 74,594/x
  3. Step 3: Cross multiply
    34,540x = 74,594 × 74,594
  4. Step 4: Simplify right side
    34,540x = 5,564,264,836
  5. Step 5: Solve for x
    x = 5,564,264,836/34,540
  6. Step 6: Final answer
    x = 161,096.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.