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Finding the Third Proportional to 34,058 and 72,772

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Solution

The third proportional to 34,058 and 72,772 is: 155,492.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,058 : 72,772 = 72,772 : x
  2. Step 2: Convert to fraction form
    34,058/72,772 = 72,772/x
  3. Step 3: Cross multiply
    34,058x = 72,772 × 72,772
  4. Step 4: Simplify right side
    34,058x = 5,295,763,984
  5. Step 5: Solve for x
    x = 5,295,763,984/34,058
  6. Step 6: Final answer
    x = 155,492.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.