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Finding the Third Proportional to 59,186 and 129,429

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Solution

The third proportional to 59,186 and 129,429 is: 283,037.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,186 : 129,429 = 129,429 : x
  2. Step 2: Convert to fraction form
    59,186/129,429 = 129,429/x
  3. Step 3: Cross multiply
    59,186x = 129,429 × 129,429
  4. Step 4: Simplify right side
    59,186x = 16,751,866,041
  5. Step 5: Solve for x
    x = 16,751,866,041/59,186
  6. Step 6: Final answer
    x = 283,037.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.