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Finding the Third Proportional to 59,329 and 129,602

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Solution

The third proportional to 59,329 and 129,602 is: 283,110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,329 : 129,602 = 129,602 : x
  2. Step 2: Convert to fraction form
    59,329/129,602 = 129,602/x
  3. Step 3: Cross multiply
    59,329x = 129,602 × 129,602
  4. Step 4: Simplify right side
    59,329x = 16,796,678,404
  5. Step 5: Solve for x
    x = 16,796,678,404/59,329
  6. Step 6: Final answer
    x = 283,110.76

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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.