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Finding the Third Proportional to 65,895 and 141,324.50

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Solution

The third proportional to 65,895 and 141,324.50 is: 303,097.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,895 : 141,324.50 = 141,324.50 : x
  2. Step 2: Convert to fraction form
    65,895/141,324.50 = 141,324.50/x
  3. Step 3: Cross multiply
    65,895x = 141,324.50 × 141,324.50
  4. Step 4: Simplify right side
    65,895x = 19,972,614,300.25
  5. Step 5: Solve for x
    x = 19,972,614,300.25/65,895
  6. Step 6: Final answer
    x = 303,097.57

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.