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Finding the Third Proportional to 100,341 and 137,593.50

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Solution

The third proportional to 100,341 and 137,593.50 is: 188,676.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,341 : 137,593.50 = 137,593.50 : x
  2. Step 2: Convert to fraction form
    100,341/137,593.50 = 137,593.50/x
  3. Step 3: Cross multiply
    100,341x = 137,593.50 × 137,593.50
  4. Step 4: Simplify right side
    100,341x = 18,931,971,242.25
  5. Step 5: Solve for x
    x = 18,931,971,242.25/100,341
  6. Step 6: Final answer
    x = 188,676.33

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