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Finding the Third Proportional to 65,448 and 96,082

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Solution

The third proportional to 65,448 and 96,082 is: 141,054.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,448 : 96,082 = 96,082 : x
  2. Step 2: Convert to fraction form
    65,448/96,082 = 96,082/x
  3. Step 3: Cross multiply
    65,448x = 96,082 × 96,082
  4. Step 4: Simplify right side
    65,448x = 9,231,750,724
  5. Step 5: Solve for x
    x = 9,231,750,724/65,448
  6. Step 6: Final answer
    x = 141,054.74

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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.