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Finding the Third Proportional to 34,346 and 71,324

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Solution

The third proportional to 34,346 and 71,324 is: 148,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,346 : 71,324 = 71,324 : x
  2. Step 2: Convert to fraction form
    34,346/71,324 = 71,324/x
  3. Step 3: Cross multiply
    34,346x = 71,324 × 71,324
  4. Step 4: Simplify right side
    34,346x = 5,087,112,976
  5. Step 5: Solve for x
    x = 5,087,112,976/34,346
  6. Step 6: Final answer
    x = 148,113.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.