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Finding the Third Proportional to 59,214.94 and 129,501.84

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Solution

The third proportional to 59,214.94 and 129,501.84 is: 283,217.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,214.94 : 129,501.84 = 129,501.84 : x
  2. Step 2: Convert to fraction form
    59,214.94/129,501.84 = 129,501.84/x
  3. Step 3: Cross multiply
    59,214.94x = 129,501.84 × 129,501.84
  4. Step 4: Simplify right side
    59,214.94x = 16,770,727,534.65
  5. Step 5: Solve for x
    x = 16,770,727,534.65/59,214.94
  6. Step 6: Final answer
    x = 283,217.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.