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Finding the Third Proportional to 66,824 and 93,420

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Solution

The third proportional to 66,824 and 93,420 is: 130,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,824 : 93,420 = 93,420 : x
  2. Step 2: Convert to fraction form
    66,824/93,420 = 93,420/x
  3. Step 3: Cross multiply
    66,824x = 93,420 × 93,420
  4. Step 4: Simplify right side
    66,824x = 8,727,296,400
  5. Step 5: Solve for x
    x = 8,727,296,400/66,824
  6. Step 6: Final answer
    x = 130,601.23

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.