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Finding the Third Proportional to 59,169 and 129,179

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Solution

The third proportional to 59,169 and 129,179 is: 282,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,169 : 129,179 = 129,179 : x
  2. Step 2: Convert to fraction form
    59,169/129,179 = 129,179/x
  3. Step 3: Cross multiply
    59,169x = 129,179 × 129,179
  4. Step 4: Simplify right side
    59,169x = 16,687,214,041
  5. Step 5: Solve for x
    x = 16,687,214,041/59,169
  6. Step 6: Final answer
    x = 282,026.30

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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.