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Finding the Third Proportional to 65,833.50 and 139,510.50

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Solution

The third proportional to 65,833.50 and 139,510.50 is: 295,642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,833.50 : 139,510.50 = 139,510.50 : x
  2. Step 2: Convert to fraction form
    65,833.50/139,510.50 = 139,510.50/x
  3. Step 3: Cross multiply
    65,833.50x = 139,510.50 × 139,510.50
  4. Step 4: Simplify right side
    65,833.50x = 19,463,179,610.25
  5. Step 5: Solve for x
    x = 19,463,179,610.25/65,833.50
  6. Step 6: Final answer
    x = 295,642.49

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.