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Finding the Third Proportional to 66,592 and 142,664

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Solution

The third proportional to 66,592 and 142,664 is: 305,637.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,592 : 142,664 = 142,664 : x
  2. Step 2: Convert to fraction form
    66,592/142,664 = 142,664/x
  3. Step 3: Cross multiply
    66,592x = 142,664 × 142,664
  4. Step 4: Simplify right side
    66,592x = 20,353,016,896
  5. Step 5: Solve for x
    x = 20,353,016,896/66,592
  6. Step 6: Final answer
    x = 305,637.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.