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Finding the Third Proportional to 100,330.13 and 137,577.75

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Solution

The third proportional to 100,330.13 and 137,577.75 is: 188,653.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,330.13 : 137,577.75 = 137,577.75 : x
  2. Step 2: Convert to fraction form
    100,330.13/137,577.75 = 137,577.75/x
  3. Step 3: Cross multiply
    100,330.13x = 137,577.75 × 137,577.75
  4. Step 4: Simplify right side
    100,330.13x = 18,927,637,295.06
  5. Step 5: Solve for x
    x = 18,927,637,295.06/100,330.13
  6. Step 6: Final answer
    x = 188,653.58

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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.