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Finding the Third Proportional to 65,792.25 and 97,230.38

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Solution

The third proportional to 65,792.25 and 97,230.38 is: 143,690.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,792.25 : 97,230.38 = 97,230.38 : x
  2. Step 2: Convert to fraction form
    65,792.25/97,230.38 = 97,230.38/x
  3. Step 3: Cross multiply
    65,792.25x = 97,230.38 × 97,230.38
  4. Step 4: Simplify right side
    65,792.25x = 9,453,745,822.64
  5. Step 5: Solve for x
    x = 9,453,745,822.64/65,792.25
  6. Step 6: Final answer
    x = 143,690.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.