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Finding the Third Proportional to 100,427.50 and 137,710

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Solution

The third proportional to 100,427.50 and 137,710 is: 188,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,427.50 : 137,710 = 137,710 : x
  2. Step 2: Convert to fraction form
    100,427.50/137,710 = 137,710/x
  3. Step 3: Cross multiply
    100,427.50x = 137,710 × 137,710
  4. Step 4: Simplify right side
    100,427.50x = 18,964,044,100
  5. Step 5: Solve for x
    x = 18,964,044,100/100,427.50
  6. Step 6: Final answer
    x = 188,833.18

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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.