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Finding the Third Proportional to 66,913 and 145,489

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Solution

The third proportional to 66,913 and 145,489 is: 316,336.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,913 : 145,489 = 145,489 : x
  2. Step 2: Convert to fraction form
    66,913/145,489 = 145,489/x
  3. Step 3: Cross multiply
    66,913x = 145,489 × 145,489
  4. Step 4: Simplify right side
    66,913x = 21,167,049,121
  5. Step 5: Solve for x
    x = 21,167,049,121/66,913
  6. Step 6: Final answer
    x = 316,336.87

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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.