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Finding the Third Proportional to 65,377.50 and 141,123

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Solution

The third proportional to 65,377.50 and 141,123 is: 304,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,377.50 : 141,123 = 141,123 : x
  2. Step 2: Convert to fraction form
    65,377.50/141,123 = 141,123/x
  3. Step 3: Cross multiply
    65,377.50x = 141,123 × 141,123
  4. Step 4: Simplify right side
    65,377.50x = 19,915,701,129
  5. Step 5: Solve for x
    x = 19,915,701,129/65,377.50
  6. Step 6: Final answer
    x = 304,626.23

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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.