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Finding the Third Proportional to 56,660 and 88,136

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Solution

The third proportional to 56,660 and 88,136 is: 137,097.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,660 : 88,136 = 88,136 : x
  2. Step 2: Convert to fraction form
    56,660/88,136 = 88,136/x
  3. Step 3: Cross multiply
    56,660x = 88,136 × 88,136
  4. Step 4: Simplify right side
    56,660x = 7,767,954,496
  5. Step 5: Solve for x
    x = 7,767,954,496/56,660
  6. Step 6: Final answer
    x = 137,097.68

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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.