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Finding the Third Proportional to 65,741 and 144,658

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Solution

The third proportional to 65,741 and 144,658 is: 318,308.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,741 : 144,658 = 144,658 : x
  2. Step 2: Convert to fraction form
    65,741/144,658 = 144,658/x
  3. Step 3: Cross multiply
    65,741x = 144,658 × 144,658
  4. Step 4: Simplify right side
    65,741x = 20,925,936,964
  5. Step 5: Solve for x
    x = 20,925,936,964/65,741
  6. Step 6: Final answer
    x = 318,308.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.