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Finding the Third Proportional to 65,703 and 144,123

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Solution

The third proportional to 65,703 and 144,123 is: 316,141.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,703 : 144,123 = 144,123 : x
  2. Step 2: Convert to fraction form
    65,703/144,123 = 144,123/x
  3. Step 3: Cross multiply
    65,703x = 144,123 × 144,123
  4. Step 4: Simplify right side
    65,703x = 20,771,439,129
  5. Step 5: Solve for x
    x = 20,771,439,129/65,703
  6. Step 6: Final answer
    x = 316,141.41

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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.