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Finding the Third Proportional to 45,725.25 and 65,261.63

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Solution

The third proportional to 45,725.25 and 65,261.63 is: 93,145.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,725.25 : 65,261.63 = 65,261.63 : x
  2. Step 2: Convert to fraction form
    45,725.25/65,261.63 = 65,261.63/x
  3. Step 3: Cross multiply
    45,725.25x = 65,261.63 × 65,261.63
  4. Step 4: Simplify right side
    45,725.25x = 4,259,079,697.64
  5. Step 5: Solve for x
    x = 4,259,079,697.64/45,725.25
  6. Step 6: Final answer
    x = 93,145.03

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.