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Finding the Third Proportional to 67,276 and 158,588

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Solution

The third proportional to 67,276 and 158,588 is: 373,835.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,276 : 158,588 = 158,588 : x
  2. Step 2: Convert to fraction form
    67,276/158,588 = 158,588/x
  3. Step 3: Cross multiply
    67,276x = 158,588 × 158,588
  4. Step 4: Simplify right side
    67,276x = 25,150,153,744
  5. Step 5: Solve for x
    x = 25,150,153,744/67,276
  6. Step 6: Final answer
    x = 373,835.45

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.