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Finding the Third Proportional to 65,574 and 141,617.25

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Solution

The third proportional to 65,574 and 141,617.25 is: 305,844.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,574 : 141,617.25 = 141,617.25 : x
  2. Step 2: Convert to fraction form
    65,574/141,617.25 = 141,617.25/x
  3. Step 3: Cross multiply
    65,574x = 141,617.25 × 141,617.25
  4. Step 4: Simplify right side
    65,574x = 20,055,445,497.56
  5. Step 5: Solve for x
    x = 20,055,445,497.56/65,574
  6. Step 6: Final answer
    x = 305,844.47

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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.