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Finding the Third Proportional to 65,036.50 and 139,775

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Solution

The third proportional to 65,036.50 and 139,775 is: 300,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,036.50 : 139,775 = 139,775 : x
  2. Step 2: Convert to fraction form
    65,036.50/139,775 = 139,775/x
  3. Step 3: Cross multiply
    65,036.50x = 139,775 × 139,775
  4. Step 4: Simplify right side
    65,036.50x = 19,537,050,625
  5. Step 5: Solve for x
    x = 19,537,050,625/65,036.50
  6. Step 6: Final answer
    x = 300,401.32

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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.