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Finding the Third Proportional to 66,996 and 145,656

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Solution

The third proportional to 66,996 and 145,656 is: 316,670.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,996 : 145,656 = 145,656 : x
  2. Step 2: Convert to fraction form
    66,996/145,656 = 145,656/x
  3. Step 3: Cross multiply
    66,996x = 145,656 × 145,656
  4. Step 4: Simplify right side
    66,996x = 21,215,670,336
  5. Step 5: Solve for x
    x = 21,215,670,336/66,996
  6. Step 6: Final answer
    x = 316,670.70

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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.