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Finding the Third Proportional to 34,098 and 70,564

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Solution

The third proportional to 34,098 and 70,564 is: 146,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,098 : 70,564 = 70,564 : x
  2. Step 2: Convert to fraction form
    34,098/70,564 = 70,564/x
  3. Step 3: Cross multiply
    34,098x = 70,564 × 70,564
  4. Step 4: Simplify right side
    34,098x = 4,979,278,096
  5. Step 5: Solve for x
    x = 4,979,278,096/34,098
  6. Step 6: Final answer
    x = 146,028.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.