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Finding the Third Proportional to 32,380 and 70,136

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Solution

The third proportional to 32,380 and 70,136 is: 151,916.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,380 : 70,136 = 70,136 : x
  2. Step 2: Convert to fraction form
    32,380/70,136 = 70,136/x
  3. Step 3: Cross multiply
    32,380x = 70,136 × 70,136
  4. Step 4: Simplify right side
    32,380x = 4,919,058,496
  5. Step 5: Solve for x
    x = 4,919,058,496/32,380
  6. Step 6: Final answer
    x = 151,916.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.