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Finding the Third Proportional to 34,011 and 72,072

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Solution

The third proportional to 34,011 and 72,072 is: 152,726.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,011 : 72,072 = 72,072 : x
  2. Step 2: Convert to fraction form
    34,011/72,072 = 72,072/x
  3. Step 3: Cross multiply
    34,011x = 72,072 × 72,072
  4. Step 4: Simplify right side
    34,011x = 5,194,373,184
  5. Step 5: Solve for x
    x = 5,194,373,184/34,011
  6. Step 6: Final answer
    x = 152,726.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.