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Finding the Third Proportional to 63,600 and 100,693

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Solution

The third proportional to 63,600 and 100,693 is: 159,419.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,600 : 100,693 = 100,693 : x
  2. Step 2: Convert to fraction form
    63,600/100,693 = 100,693/x
  3. Step 3: Cross multiply
    63,600x = 100,693 × 100,693
  4. Step 4: Simplify right side
    63,600x = 10,139,080,249
  5. Step 5: Solve for x
    x = 10,139,080,249/63,600
  6. Step 6: Final answer
    x = 159,419.50

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.