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Finding the Third Proportional to 65,703 and 141,702.50

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Solution

The third proportional to 65,703 and 141,702.50 is: 305,611.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,703 : 141,702.50 = 141,702.50 : x
  2. Step 2: Convert to fraction form
    65,703/141,702.50 = 141,702.50/x
  3. Step 3: Cross multiply
    65,703x = 141,702.50 × 141,702.50
  4. Step 4: Simplify right side
    65,703x = 20,079,598,506.25
  5. Step 5: Solve for x
    x = 20,079,598,506.25/65,703
  6. Step 6: Final answer
    x = 305,611.59

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.