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Finding the Third Proportional to 65,347 and 141,756

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Solution

The third proportional to 65,347 and 141,756 is: 307,508.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,347 : 141,756 = 141,756 : x
  2. Step 2: Convert to fraction form
    65,347/141,756 = 141,756/x
  3. Step 3: Cross multiply
    65,347x = 141,756 × 141,756
  4. Step 4: Simplify right side
    65,347x = 20,094,763,536
  5. Step 5: Solve for x
    x = 20,094,763,536/65,347
  6. Step 6: Final answer
    x = 307,508.59

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.