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Finding the Third Proportional to 65,816.50 and 142,139.50

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Solution

The third proportional to 65,816.50 and 142,139.50 is: 306,969.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,816.50 : 142,139.50 = 142,139.50 : x
  2. Step 2: Convert to fraction form
    65,816.50/142,139.50 = 142,139.50/x
  3. Step 3: Cross multiply
    65,816.50x = 142,139.50 × 142,139.50
  4. Step 4: Simplify right side
    65,816.50x = 20,203,637,460.25
  5. Step 5: Solve for x
    x = 20,203,637,460.25/65,816.50
  6. Step 6: Final answer
    x = 306,969.19

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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.