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Finding the Third Proportional to 96,653.25 and 146,043

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Solution

The third proportional to 96,653.25 and 146,043 is: 220,670.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,653.25 : 146,043 = 146,043 : x
  2. Step 2: Convert to fraction form
    96,653.25/146,043 = 146,043/x
  3. Step 3: Cross multiply
    96,653.25x = 146,043 × 146,043
  4. Step 4: Simplify right side
    96,653.25x = 21,328,557,849
  5. Step 5: Solve for x
    x = 21,328,557,849/96,653.25
  6. Step 6: Final answer
    x = 220,670.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.