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Finding the Third Proportional to 65,140.94 and 142,751.38

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Solution

The third proportional to 65,140.94 and 142,751.38 is: 312,828.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,140.94 : 142,751.38 = 142,751.38 : x
  2. Step 2: Convert to fraction form
    65,140.94/142,751.38 = 142,751.38/x
  3. Step 3: Cross multiply
    65,140.94x = 142,751.38 × 142,751.38
  4. Step 4: Simplify right side
    65,140.94x = 20,377,955,064.39
  5. Step 5: Solve for x
    x = 20,377,955,064.39/65,140.94
  6. Step 6: Final answer
    x = 312,828.70

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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.