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Finding the Third Proportional to 34,232 and 71,776

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Solution

The third proportional to 34,232 and 71,776 is: 150,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,232 : 71,776 = 71,776 : x
  2. Step 2: Convert to fraction form
    34,232/71,776 = 71,776/x
  3. Step 3: Cross multiply
    34,232x = 71,776 × 71,776
  4. Step 4: Simplify right side
    34,232x = 5,151,794,176
  5. Step 5: Solve for x
    x = 5,151,794,176/34,232
  6. Step 6: Final answer
    x = 150,496.44

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.