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Finding the Third Proportional to 131,136 and 271,602

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Solution

The third proportional to 131,136 and 271,602 is: 562,527.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,136 : 271,602 = 271,602 : x
  2. Step 2: Convert to fraction form
    131,136/271,602 = 271,602/x
  3. Step 3: Cross multiply
    131,136x = 271,602 × 271,602
  4. Step 4: Simplify right side
    131,136x = 73,767,646,404
  5. Step 5: Solve for x
    x = 73,767,646,404/131,136
  6. Step 6: Final answer
    x = 562,527.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.