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Finding the Third Proportional to 65,852 and 141,700

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Solution

The third proportional to 65,852 and 141,700 is: 304,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,852 : 141,700 = 141,700 : x
  2. Step 2: Convert to fraction form
    65,852/141,700 = 141,700/x
  3. Step 3: Cross multiply
    65,852x = 141,700 × 141,700
  4. Step 4: Simplify right side
    65,852x = 20,078,890,000
  5. Step 5: Solve for x
    x = 20,078,890,000/65,852
  6. Step 6: Final answer
    x = 304,909.34

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.