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Finding the Third Proportional to 52,740 and 82,136

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Solution

The third proportional to 52,740 and 82,136 is: 127,916.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,740 : 82,136 = 82,136 : x
  2. Step 2: Convert to fraction form
    52,740/82,136 = 82,136/x
  3. Step 3: Cross multiply
    52,740x = 82,136 × 82,136
  4. Step 4: Simplify right side
    52,740x = 6,746,322,496
  5. Step 5: Solve for x
    x = 6,746,322,496/52,740
  6. Step 6: Final answer
    x = 127,916.62

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.