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Finding the Third Proportional to 63,283.15 and 133,678.69

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Solution

The third proportional to 63,283.15 and 133,678.69 is: 282,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,283.15 : 133,678.69 = 133,678.69 : x
  2. Step 2: Convert to fraction form
    63,283.15/133,678.69 = 133,678.69/x
  3. Step 3: Cross multiply
    63,283.15x = 133,678.69 × 133,678.69
  4. Step 4: Simplify right side
    63,283.15x = 17,869,991,491.72
  5. Step 5: Solve for x
    x = 17,869,991,491.72/63,283.15
  6. Step 6: Final answer
    x = 282,381.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.