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Finding the Third Proportional to 96,743.25 and 146,575.13

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Solution

The third proportional to 96,743.25 and 146,575.13 is: 222,075.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,743.25 : 146,575.13 = 146,575.13 : x
  2. Step 2: Convert to fraction form
    96,743.25/146,575.13 = 146,575.13/x
  3. Step 3: Cross multiply
    96,743.25x = 146,575.13 × 146,575.13
  4. Step 4: Simplify right side
    96,743.25x = 21,484,267,268.77
  5. Step 5: Solve for x
    x = 21,484,267,268.77/96,743.25
  6. Step 6: Final answer
    x = 222,075.10

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.