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Finding the Third Proportional to 59,083.17 and 129,699.35

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Solution

The third proportional to 59,083.17 and 129,699.35 is: 284,715.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,083.17 : 129,699.35 = 129,699.35 : x
  2. Step 2: Convert to fraction form
    59,083.17/129,699.35 = 129,699.35/x
  3. Step 3: Cross multiply
    59,083.17x = 129,699.35 × 129,699.35
  4. Step 4: Simplify right side
    59,083.17x = 16,821,921,795.73
  5. Step 5: Solve for x
    x = 16,821,921,795.73/59,083.17
  6. Step 6: Final answer
    x = 284,715.96

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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.