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Finding the Third Proportional to 59,264 and 129,597

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Solution

The third proportional to 59,264 and 129,597 is: 283,399.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,264 : 129,597 = 129,597 : x
  2. Step 2: Convert to fraction form
    59,264/129,597 = 129,597/x
  3. Step 3: Cross multiply
    59,264x = 129,597 × 129,597
  4. Step 4: Simplify right side
    59,264x = 16,795,382,409
  5. Step 5: Solve for x
    x = 16,795,382,409/59,264
  6. Step 6: Final answer
    x = 283,399.41

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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.