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Finding the Third Proportional to 66,892 and 145,316

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Solution

The third proportional to 66,892 and 145,316 is: 315,684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,892 : 145,316 = 145,316 : x
  2. Step 2: Convert to fraction form
    66,892/145,316 = 145,316/x
  3. Step 3: Cross multiply
    66,892x = 145,316 × 145,316
  4. Step 4: Simplify right side
    66,892x = 21,116,739,856
  5. Step 5: Solve for x
    x = 21,116,739,856/66,892
  6. Step 6: Final answer
    x = 315,684.09

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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.