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Finding the Third Proportional to 66,962 and 145,588

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Solution

The third proportional to 66,962 and 145,588 is: 316,535.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,962 : 145,588 = 145,588 : x
  2. Step 2: Convert to fraction form
    66,962/145,588 = 145,588/x
  3. Step 3: Cross multiply
    66,962x = 145,588 × 145,588
  4. Step 4: Simplify right side
    66,962x = 21,195,865,744
  5. Step 5: Solve for x
    x = 21,195,865,744/66,962
  6. Step 6: Final answer
    x = 316,535.73

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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.