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Finding the Third Proportional to 100,329.75 and 137,577.38

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Solution

The third proportional to 100,329.75 and 137,577.38 is: 188,653.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,329.75 : 137,577.38 = 137,577.38 : x
  2. Step 2: Convert to fraction form
    100,329.75/137,577.38 = 137,577.38/x
  3. Step 3: Cross multiply
    100,329.75x = 137,577.38 × 137,577.38
  4. Step 4: Simplify right side
    100,329.75x = 18,927,534,111.89
  5. Step 5: Solve for x
    x = 18,927,534,111.89/100,329.75
  6. Step 6: Final answer
    x = 188,653.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.