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Finding the Third Proportional to 66,644 and 145,321

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Solution

The third proportional to 66,644 and 145,321 is: 316,880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,644 : 145,321 = 145,321 : x
  2. Step 2: Convert to fraction form
    66,644/145,321 = 145,321/x
  3. Step 3: Cross multiply
    66,644x = 145,321 × 145,321
  4. Step 4: Simplify right side
    66,644x = 21,118,193,041
  5. Step 5: Solve for x
    x = 21,118,193,041/66,644
  6. Step 6: Final answer
    x = 316,880.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.