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Finding the Third Proportional to 63,205.50 and 135,159

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Solution

The third proportional to 63,205.50 and 135,159 is: 289,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,205.50 : 135,159 = 135,159 : x
  2. Step 2: Convert to fraction form
    63,205.50/135,159 = 135,159/x
  3. Step 3: Cross multiply
    63,205.50x = 135,159 × 135,159
  4. Step 4: Simplify right side
    63,205.50x = 18,267,955,281
  5. Step 5: Solve for x
    x = 18,267,955,281/63,205.50
  6. Step 6: Final answer
    x = 289,024.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.