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Finding the Third Proportional to 72,467 and 158,658

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Solution

The third proportional to 72,467 and 158,658 is: 347,363.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,467 : 158,658 = 158,658 : x
  2. Step 2: Convert to fraction form
    72,467/158,658 = 158,658/x
  3. Step 3: Cross multiply
    72,467x = 158,658 × 158,658
  4. Step 4: Simplify right side
    72,467x = 25,172,360,964
  5. Step 5: Solve for x
    x = 25,172,360,964/72,467
  6. Step 6: Final answer
    x = 347,363.09

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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.