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Finding the Third Proportional to 65,741.50 and 96,512

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Solution

The third proportional to 65,741.50 and 96,512 is: 141,684.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,741.50 : 96,512 = 96,512 : x
  2. Step 2: Convert to fraction form
    65,741.50/96,512 = 96,512/x
  3. Step 3: Cross multiply
    65,741.50x = 96,512 × 96,512
  4. Step 4: Simplify right side
    65,741.50x = 9,314,566,144
  5. Step 5: Solve for x
    x = 9,314,566,144/65,741.50
  6. Step 6: Final answer
    x = 141,684.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.