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Finding the Third Proportional to 59,222.63 and 129,516.75

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Solution

The third proportional to 59,222.63 and 129,516.75 is: 283,246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,222.63 : 129,516.75 = 129,516.75 : x
  2. Step 2: Convert to fraction form
    59,222.63/129,516.75 = 129,516.75/x
  3. Step 3: Cross multiply
    59,222.63x = 129,516.75 × 129,516.75
  4. Step 4: Simplify right side
    59,222.63x = 16,774,588,530.56
  5. Step 5: Solve for x
    x = 16,774,588,530.56/59,222.63
  6. Step 6: Final answer
    x = 283,246.29

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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.