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Finding the Third Proportional to 65,952 and 141,903

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Solution

The third proportional to 65,952 and 141,903 is: 305,319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,952 : 141,903 = 141,903 : x
  2. Step 2: Convert to fraction form
    65,952/141,903 = 141,903/x
  3. Step 3: Cross multiply
    65,952x = 141,903 × 141,903
  4. Step 4: Simplify right side
    65,952x = 20,136,461,409
  5. Step 5: Solve for x
    x = 20,136,461,409/65,952
  6. Step 6: Final answer
    x = 305,319.95

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Why These Related Problems?

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