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Finding the Third Proportional to 59,034 and 129,636

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Solution

The third proportional to 59,034 and 129,636 is: 284,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,034 : 129,636 = 129,636 : x
  2. Step 2: Convert to fraction form
    59,034/129,636 = 129,636/x
  3. Step 3: Cross multiply
    59,034x = 129,636 × 129,636
  4. Step 4: Simplify right side
    59,034x = 16,805,492,496
  5. Step 5: Solve for x
    x = 16,805,492,496/59,034
  6. Step 6: Final answer
    x = 284,674.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.