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Finding the Third Proportional to 66,597 and 141,670

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Solution

The third proportional to 66,597 and 141,670 is: 301,370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,597 : 141,670 = 141,670 : x
  2. Step 2: Convert to fraction form
    66,597/141,670 = 141,670/x
  3. Step 3: Cross multiply
    66,597x = 141,670 × 141,670
  4. Step 4: Simplify right side
    66,597x = 20,070,388,900
  5. Step 5: Solve for x
    x = 20,070,388,900/66,597
  6. Step 6: Final answer
    x = 301,370.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.