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Finding the Third Proportional to 65,437.50 and 100,647

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Solution

The third proportional to 65,437.50 and 100,647 is: 154,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,437.50 : 100,647 = 100,647 : x
  2. Step 2: Convert to fraction form
    65,437.50/100,647 = 100,647/x
  3. Step 3: Cross multiply
    65,437.50x = 100,647 × 100,647
  4. Step 4: Simplify right side
    65,437.50x = 10,129,818,609
  5. Step 5: Solve for x
    x = 10,129,818,609/65,437.50
  6. Step 6: Final answer
    x = 154,801.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.