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Finding the Third Proportional to 59,496 and 129,660

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Solution

The third proportional to 59,496 and 129,660 is: 282,568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,496 : 129,660 = 129,660 : x
  2. Step 2: Convert to fraction form
    59,496/129,660 = 129,660/x
  3. Step 3: Cross multiply
    59,496x = 129,660 × 129,660
  4. Step 4: Simplify right side
    59,496x = 16,811,715,600
  5. Step 5: Solve for x
    x = 16,811,715,600/59,496
  6. Step 6: Final answer
    x = 282,568.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.