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Finding the Third Proportional to 34,306 and 74,426

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Solution

The third proportional to 34,306 and 74,426 is: 161,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,306 : 74,426 = 74,426 : x
  2. Step 2: Convert to fraction form
    34,306/74,426 = 74,426/x
  3. Step 3: Cross multiply
    34,306x = 74,426 × 74,426
  4. Step 4: Simplify right side
    34,306x = 5,539,229,476
  5. Step 5: Solve for x
    x = 5,539,229,476/34,306
  6. Step 6: Final answer
    x = 161,465.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.