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Finding the Third Proportional to 34,220 and 74,972

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Solution

The third proportional to 34,220 and 74,972 is: 164,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,220 : 74,972 = 74,972 : x
  2. Step 2: Convert to fraction form
    34,220/74,972 = 74,972/x
  3. Step 3: Cross multiply
    34,220x = 74,972 × 74,972
  4. Step 4: Simplify right side
    34,220x = 5,620,800,784
  5. Step 5: Solve for x
    x = 5,620,800,784/34,220
  6. Step 6: Final answer
    x = 164,254.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.