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Finding the Third Proportional to 65,388 and 141,609

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Solution

The third proportional to 65,388 and 141,609 is: 306,678.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,388 : 141,609 = 141,609 : x
  2. Step 2: Convert to fraction form
    65,388/141,609 = 141,609/x
  3. Step 3: Cross multiply
    65,388x = 141,609 × 141,609
  4. Step 4: Simplify right side
    65,388x = 20,053,108,881
  5. Step 5: Solve for x
    x = 20,053,108,881/65,388
  6. Step 6: Final answer
    x = 306,678.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.