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Finding the Third Proportional to 84,984 and 131,136

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Solution

The third proportional to 84,984 and 131,136 is: 202,351.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,984 : 131,136 = 131,136 : x
  2. Step 2: Convert to fraction form
    84,984/131,136 = 131,136/x
  3. Step 3: Cross multiply
    84,984x = 131,136 × 131,136
  4. Step 4: Simplify right side
    84,984x = 17,196,650,496
  5. Step 5: Solve for x
    x = 17,196,650,496/84,984
  6. Step 6: Final answer
    x = 202,351.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.