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Finding the Third Proportional to 65,125.50 and 142,718.25

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Solution

The third proportional to 65,125.50 and 142,718.25 is: 312,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,125.50 : 142,718.25 = 142,718.25 : x
  2. Step 2: Convert to fraction form
    65,125.50/142,718.25 = 142,718.25/x
  3. Step 3: Cross multiply
    65,125.50x = 142,718.25 × 142,718.25
  4. Step 4: Simplify right side
    65,125.50x = 20,368,498,883.06
  5. Step 5: Solve for x
    x = 20,368,498,883.06/65,125.50
  6. Step 6: Final answer
    x = 312,757.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.