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Finding the Third Proportional to 65,452.50 and 139,653

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Solution

The third proportional to 65,452.50 and 139,653 is: 297,971.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,452.50 : 139,653 = 139,653 : x
  2. Step 2: Convert to fraction form
    65,452.50/139,653 = 139,653/x
  3. Step 3: Cross multiply
    65,452.50x = 139,653 × 139,653
  4. Step 4: Simplify right side
    65,452.50x = 19,502,960,409
  5. Step 5: Solve for x
    x = 19,502,960,409/65,452.50
  6. Step 6: Final answer
    x = 297,971.21

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.